Article: It's important that you learn the proper way to behave around a beehive from someone with experience. An experienced beekeeper can provide you with wisdom and guidance that may be difficult to find online. A seasoned beekeeper's poise will show you how to remain calm if you get nervous around the hive. Having support can make the situation less frightening until you are accustomed to working with bees. It's inevitable that you will get stung at some point while working with bees. Most experienced beekeepers have been stung many times, but eventually learn to avoid most situations that may result in getting stung. If you are stung, treating a bee sting is fairly easy: Remove the stinger as quickly as you can and wash the area with soap and water. Apply a cold compress and keep an eye out for signs of an allergic reaction. If signs of a moderate allergic reaction arise, take an antihistamine and apply a cortisone cream to the site of the sting. If a more severe reaction seems evident, use an epinephrine pen if available and seek medical treatment immediately.
Question: What is a summary of what this article is about?
Start with a friend that has experience. Treat bee stings.
Article: In "ordinary math" with scalar quantities, multiplication is commutative; 2 x 6 = 6 x 2. This is not true for matrices, so you may need to solve two problems: [A] * [B]-1 is the solution x for the problem x[B] = [A]. [B]-1 * [A] is the solution x for the problem [B]x = [A]. If this is part of an equation, make sure you are performing the same operation on both sides. If [A] = [C], then [B]-1[A] does not equal [C][B]-1, because the [B]-1 is on the left side of [A] but the right side of [C]. The dimensions of the final matrix are the outer dimensions of the two factors. It has the same number of rows as the first matrix, and the same number of columns as the second matrix. Returning to our original example, both (13263913){\displaystyle {egin{pmatrix}13&26\39&13\end{pmatrix}}} and (313413213713){\displaystyle {egin{pmatrix}{
rac {3}{13}}&{
rac {-4}{13}}\{
rac {-2}{13}}&{
rac {7}{13}}\end{pmatrix}}} are 2 x 2 matrices so the dimensions of the answer are also 2 x 2. To take a more complicated example, if [A] is a 4 x 3 matrix and [B]-1 is a 3 x 3 matrix, then the matrix [A] * [B]-1 has dimensions 4 x 3. . Refer to the linked article for full instructions, or refresh your memory with this summary: To find row 1, column 1 of [A][B]-1, find the dot product of [A] row 1 and [B]-1 column 1. That is, for a 2 x 2 matrix, calculate a1,1b1,1+a1,2b2,1{\displaystyle a_{1,1}*b_{1,1}+a_{1,2}*b_{2,1}}. In our example (13263913)(313413213713){\displaystyle {egin{pmatrix}13&26\39&13\end{pmatrix}}*{egin{pmatrix}{
rac {3}{13}}&{
rac {-4}{13}}\{
rac {-2}{13}}&{
rac {7}{13}}\end{pmatrix}}}, row 1 column 1 of our answer is:(13313)+(26213){\displaystyle (13*{
rac {3}{13}})+(26*{
rac {-2}{13}})}=3+4{\displaystyle =3+-4}=1{\displaystyle =-1} For example, the element at position 2,1 is the dot product of [A] row 2 and [B]-1 column 1. Try to complete the example on your own. You should get the following answers: (13263913)(313413213713)=(11075){\displaystyle {egin{pmatrix}13&26\39&13\end{pmatrix}}*{egin{pmatrix}{
rac {3}{13}}&{
rac {-4}{13}}\{
rac {-2}{13}}&{
rac {7}{13}}\end{pmatrix}}={egin{pmatrix}-1&10\7&-5\end{pmatrix}}} If you need to find the other solution, (313413213713)(13263913)=(92193){\displaystyle {egin{pmatrix}{
rac {3}{13}}&{
rac {-4}{13}}\{
rac {-2}{13}}&{
rac {7}{13}}\end{pmatrix}}*{egin{pmatrix}13&26\39&13\end{pmatrix}}={egin{pmatrix}-9&2\19&3\end{pmatrix}}}
Question: What is a summary of what this article is about?
Write both possible equations. Find the dimensions of your answer. Find the value of the first element Repeat the dot product process for each position in your matrix.
Article: Another technique to removing the nail polish stain while it is wet is to take a cotton swab or ball and gently blot the stain until all or most of it is removed. This will prevent you from smearing the stain. If you have a larger stain, use damp paper towels or a rag to dab the stain, but be careful not to smear the stain or to drip water onto your leather that will cause the stain to run.
Question: What is a summary of what this article is about?
Blot polish with a cotton ball.