The Algebra of Matrices

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

If A is the 2 by 3 matrix with entries 3, 1 half, 5, 1, negative 1, and 3, and B is the 2 by 3 matrix with entries 2, negative 5 halves, 0, 0, 2, and negative 3, compute the following: A + B, A minus B, and 2A
If A is the 2 by 3 matrix with entries 3, 1 half, 5, 1, negative 1, and 3, and B is the 2 by 3 matrix with entries 2, negative 5 halves, 0, 0, 2, and negative 3, compute the following: 1 half A minus 1 half B, and 10A minus 5B
Solve for X: 2X + A = B, if A is the 2 by 2 matrix with entries 4, 6, 1, and 3 and B is the 2 by 2 matrix with entries 2, 6, 3, and 7.
Solve for X: 2A = B minus 3X, if if A is the 2 by 2 matrix with entries 4, 6, 1, and 3 and B is the 2 by 2 matrix with entries 2, 6, 3, and 7.