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                                                                    EXHIBIT 10.1

                       AMENDMENT FOUR TO THE FIRST AMENDED
                    UNIGRAPHICS SOLUTION INC. 401(k) PLAN AND
                                AMENDMENT TO THE
                   ENGINEERING ANIMATION, INC. RETIREMENT PLAN
                              AND AMENDMENT TO THE
                  VARIATION SYSTEMS ANALYSIS, INC. 401(k) PLAN

     WHEREAS, Unigraphics Solution Inc. (the "Company") previously adopted the
Unigraphics Solution Inc. 401(k) Plan ("Plan"); and

     WHEREAS, the Company reserved the right to amend the Plan in Section 16.1
thereof; and

     WHEREAS, Engineering Animation, Inc. ("EAI") previously adopted the
Engineering Animation, Inc. Retirement Plan ("EAI Plan"); and

     WHEREAS, the Company, the successor to EAI, reserved the right to amend the
EAI Plan in Section 9.01 of the Basic Plan; and

     WHEREAS, EAI previously adopted the Variation Systems Analysis, Inc. 401(k)
Plan ("VSA Plan"); and

     WHEREAS, the Company, the successor to EAI, reserved the right to amend the
VSA Plan in Section 13.02 of the Basic Plan; and

     WHEREAS, effective May 30, 2001, the Company desires to merge the EAI Plan
and the VSA Plan into the Plan and amend the Plan in certain respects;

     NOW THEREFORE, effective May 30, 2001, the EAI Plan and the VSA Plan are
merged into the Plan and the Plan is amended as follows:

     1.   Section 2.33 of the Plan shall be amended by adding the following to
          the end thereof:

          A person shall also be given credit for years of service earned under
          either the Engineering Animation, Inc. Retirement Plan or the
          Variation Systems Analysis, Inc. 401(k) Plan prior to May 30, 2001.

     2    A new Section 4.10.14 is added as follows:

          4.10.14.  Outstanding Loans Under Engineering Animation, Inc.
                    ---------------------------------------------------
                    Retirement Plan or Variation Systems
                    ------------------------------------
                    Analysis, Inc. 401(k) Plan.
                    --------------------------

               Notwithstanding any provision herein to the contrary, loans
          outstanding under either the Engineering Animation, Inc. Retirement
          Plan or the Variation Systems Analysis, Inc. 401(k) Plan as of May 30,
          2001 shall continue to be subject to the same terms and provisions
          which applied to such loans immediately prior to May 30, 2001.

     3.   Section 4.12 shall be amended by adding the following paragraph at the
          end thereof:

               A Participant in the employment of the Employer may, as of any
          date (but only once during any Plan Year), withdraw all or any part of
          his or her VSA Rollover Account.

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     4.   Section 6.1 of the Plan shall be amended by adding the following to
          the end thereof:

          Amounts transferred from a Participant's account under the Engineering
          Animation, Inc. Retirement Plan attributable to the Participant's
          elective deferral contributions and rollover contributions made
          thereunder shall be allocated to such Participant's Before-Tax
          Contribution Account and Rollover Account, respectively. Amounts
          transferred from a Participant's deferral contributions account under
          the Variation Systems Analysis, Inc. 401(k) Plan shall be allocated to
          such Participant's Before-Tax Contribution Account. Amounts
          transferred from a Participant's rollover contribution account under
          the Variation Systems Analysis, Inc. 401(k) Plan shall be allocated to
          such Participant's VSA Rollover Account, which shall be established
          for such Participant under the Plan. Except with respect to withdrawal
          as described in Section 4.12, any reference to a Participant's
          Rollover Account under the Plan shall also mean a Participant's VSA
          Rollover Account. Amounts transferred from a Participant's account
          under the Engineering Animation, Inc. Retirement Plan attributable to
          employer matching contributions and discretionary contributions made
          thereunder shall be allocated to such Participant's EAI Matching
          Contribution Account, which shall be established for such Participant
          under the Plan. Amounts transferred from a Participant's regular
          matching contributions account and employer contributions account
          under the Variation Systems Analysis, Inc. 401(k) Plan shall be
          allocated to such Participant's VSA Matching Contribution Account,
          which shall be established for such Participant under the Plan. Except
          with respect to vesting as described in Section 9.2, any reference to
          a Participant's Matching Contribution Account under the Plan shall
          also mean a Participant's EAI Matching Contribution Account and/or his
          VSA Matching Contribution Account.

     5.   A new Section 6.2.3 is added as follows:

          6.2.3.    Amounts Transferred From Engineering Animation, Inc.
                    -----------------------------------------------------
                    Retirement Plan and Variation Systems
                    -------------------------------------
                    Analysis, Inc. 401(k) Plan.
                    --------------------------

               Notwithstanding any other provision of the Plan to the contrary,
          amounts transferred from the Engineering Animation, Inc. Retirement
          Plan and the Variation Systems Analysis, Inc. 401(k) Plan as of May
          30, 2001 shall be held by the Trustee and invested in the money market
          fund made available under the Plan, and shall not be subject to
          Participant direction under Section 6 until the Trustee obtains the
          appropriate participant records regarding such transferred amounts.
          Upon receipt of the appropriate records, amounts transferred from the
          Engineering Animation, Inc. Retirement Plan and/or the Variation
          Systems Analysis, Inc. 401(k) Plan (as adjusted to account for
          earnings and losses thereon) on behalf of a Participant shall be
          allocated to such Participant's accounts in accordance with Section
          6.1, and shall be invested in accordance with the Participant's then
          current investment elections under the Plan. Thereafter, such amounts
          shall be subject to Participant direction in accordance with Section
          6. If, however, upon receipt of the appropriate participant records
          and allocation of the transferred amounts to the appropriate accounts,
          a Participant has not made any investment election under the Plan,
          such transferred amounts shall remain invested in the money market
          fund until the participant directs otherwise in accordance with
          Section 6.

     6.   Section 9.2 shall be amended as follows:

          9.2.      Determination of Vested Portion.
                    -------------------------------

          (a) A Participant's Rollover Account, Before-Tax Contribution Account
     and VSA Matching Contribution Account shall be 100% vested and
     nonforfeitable at all times.

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          (b) The portion of a Participant's Matching Contribution Account
     (excluding the Participant's VSA Matching Contribution Account and/or EAI
     Matching Contribution Account) which shall be vested and nonforfeitable
     shall be determined in accordance with the following schedule:

          Years of Service          Percentage of Account Vested
          ----------------          ----------------------------
                 1                                0%
                 2                               40%
                 3                               60%
                 4                               80%
                 5                              100%

          (c) The portion of a Participant's EAI Matching Contribution Account
     which shall be vested and nonforfeitable shall be determined in accordance
     with the following schedule:

          Years of Service          Percentage of Account Vested
          ----------------          ----------------------------
                 1                               20%
                 2                               40%
                 3                               60%
                 4                               80%
                 5                              100%

          (d) Notwithstanding any provision herein to the contrary, a
     Participant's accounts shall be 100% vested and nonforfeitable upon such
     Participant's Normal Retirement Date.

          (e) Notwithstanding any provision herein to the contrary, a
     Participant's EAI Matching Contribution Account shall be 100% vested and
     nonforfeitable upon the date such Participant terminates his or her
     employment with the Employer (except by death or permanent and total
     disability as defined in Section 8.2) provided:

               (1) such date is on or after such Participant's attainment of age
          55, and

               (2) such Participant has at least three Years of Service on May
          30, 2001.

     7.   A new Section 10.2.9 is added as follows:

          10.2.9.   Amounts Transferred From Engineering Animation, Inc.
                    ----------------------------------------------------
                    Retirement Plan And Variation Systems
                    -------------------------------------
                    Analysis, Inc. 401(k) Plan.
                    --------------------------

               Notwithstanding any provision herein to the contrary, in the
          event a Participant on whose behalf amounts have been transferred from
          the Engineering Animation, Inc. Retirement Plan and/or the Variation
          Systems Analysis, Inc. 401(k) Plan has an Annuity Starting Date prior
          to the 90th day after being furnished with a summary regarding
          elimination of the optional forms of distribution available under the
          Engineering Animation, Inc. Retirement Plan and the Variation Systems
          Analysis, Inc. 401(k) Plan (or, if earlier, January 1, 2003), the
          portion of such Participant's accounts is attributable to such
          transferred amounts shall be distributed, as applicable, under one of
          the optional forms of distribution available under the Engineering
          Animation, Inc. Retirement Plan and/or the Variation Systems Analysis,
          Inc. 401(k) Plan, as applicable, unless such Participant (or, in the
          case of death, the Participant's spouse or designated beneficiary)
          chooses one of the optional forms of distribution available under the
          Plan. After expiration of such period, however, all distributions from
          the Plan (including the distribution of amounts transferred from the
          Engineering Animation, Inc. Retirement Plan

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          and the Variation Systems Analysis, Inc. 401(k) Plan) shall be made
          solely in a form of distribution available under the Plan.

                                       4<PAGE>

                                                                    EXHIBIT 10.2

                       AMENDMENT FIVE TO THE FIRST AMENDED
                      UNIGRAPHICS SOLUTION INC. 401(k) PLAN

     WHEREAS, Unigraphics Solution Inc. (the "Company") previously adopted the
Unigraphics Solution Inc. 401(k) Plan ("Plan"); and

     WHEREAS, the Company reserved the right to amend the Plan in Section 16.1
thereof and delegated such authority to amend the Plan to the Compensation
Committee of the Board of Directors (the "Committee"); and

     WHEREAS, effective August 14, 2001, the Committee desires to amend the Plan
to restrict investment in the Company Stock Fund thereunder; and

     WHEREAS, the Committee desires to further amend the Plan to describe the
effect of the Agreement and Plan of Merger by and among Electronic Data Systems
Corporation, UGS Acquisition Corp., and Unigraphics Solutions Inc., dated as of
August 2, 2001, on the investment of funds under the Plan;

     NOW THEREFORE, effective August 14, 2001, the Plan is amended as follows:

     1. A new Section 6.2.4 shall be added to the end of Section 6.2 to read as
follows:

     6.2.4.  Company Stock Fund.
             ------------------

          Notwithstanding any other provision of the Plan to the contrary, as of
     August 14, 2001, a Participant may not invest contributions under Section 4
     to the Unigraphics Solution Inc. Stock Fund. Unless otherwise designated by
     the Participant in accordance with Section 6.2.1, such contributions which
     would have been invested in the Unigraphics Solutions Inc. Stock Fund on or
     after August 14, 2001 shall be invested in a money market fund made
     available by the Company.

     2. Section 6.3 is amended by adding the following sentence to the end
thereof:

      As of August 14, 2001, a Participant may not elect to transfer any portion
     of his or her accounts from an investment fund (other than the Unigraphics
     Solutions Inc. Stock Fund) into the Unigraphics Solutions Inc. Stock Fund;
     provided, however, that a Participant may continue to elect after such date
     to transfer any portion of his or her accounts invested in the Unigraphics
     Solutions Inc. Stock Fund into another investment fund available under the
     Plan. Upon the receipt of cash for shares of Employer Stock held in the
     Unigraphics Solutions Inc. Stock Fund, as contemplated in the Agreement and
     Plan of Merger by and among Electronic Data Systems Corporation, UGS
     Acquisition Corp., and Unigraphics Solutions Inc., dated as of August 2,
     2001 ("Merger Agreement"), the Trustee shall deposit such cash received
     into the Vanguard Money Market Reserves Prime Portfolio Fund. Thereafter, a
     Participant whose account receives cash in exchange for Employer Stock, as
     described in the Merger Agreement, may elect to transfer all or any portion
     of his or her accounts held in the Vanguard Money Market Reserves Prime
     Portfolio Fund into any other investment fund available under the Plan.
     Upon the receipt of cash for shares of Employer Stock held in the
     Unigraphics Solutions Inc. Stock Fund, as contemplated in the Merger
     Agreement, the Unigraphics Solutions Inc. Stock Fund shall cease to be an
     investment fund available under the Plan.

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