1. When the n vectors are linear orthogonal , equality is achieved in Hadamard 's inequality if and only if the vectors are independent .
2. If the n vectors are linearly independent , equality in the inequality of Hadamard is achieved if and only if the vectors are orthogonal .
OPTIONS:
- no
- yes

no

A same meaning or not problem: OPTIONS:
- no
- yes
Governor Flanagin took the state archives and first moved to Arkadelphia and then to Washington at Hempstead County , where he set up a new capital .
Governor Flanagin took the state archives and moved first to Arkadelphia , and then on to Washington in Hempstead County where he set up a new capitol .
****
[A]: yes

Same meaning?
Art Eggleton narrowly defeated incumbent John Sewell to become Mayor of Toronto , and Mel Lastman was re-elected as Mayor of North York .
John John Sewell defeated incumbent Mel Lastman to become the mayor of Toronto , and Art Eggleton was re-elected as Mayor of North York .

OPTIONS:
- no
- yes

Answer: no

Problem: S1: An important advantage ( projected by Carr ) was that '' if Soviet Russia had already to fight Hitler , the Western Powers would eventually be involved . ''
S2: An important advantage ( projected by Carr ) was that '' if Soviet Russia had to fight Hitler eventually , the Western powers would already be involved .

Do S1 & S2 convey the same information?

OPTIONS:
- no
- yes

A: no

Problem: (1) The Assembly sat for the pleasure of the governor of Nova Scotia , Lucius Bentinck Cary , and Jeremiah Dickson became Governor in 1846 .
(2) The assembly sat at the pleasure of the Governor of Nova Scotia , Lucius Bentinck Cary . Jeremiah Dickson became governor in 1846 .

Do (1) and (2) mean the same thing?

OPTIONS:
- no
- yes
A: yes

Problem: (1) The album was produced by Rafael Gayol and contributed by Billy Harvey and the Tosca String Quartet .
(2) The album was produced by Rafael Gayol , and featured contributions by Billy Harvey and the Tosca String Quartet .

Do (1) and (2) mean the same thing?

OPTIONS:
- no
- yes
A:
yes