Problem, illustrate ways in which the algebra of matrices is not analogous to the algebra of real numbers.
(a) Suppose that A and B are the matrices of Example 5.
Show that (A + B) 2 ≠ A2 + 2AB + B2.
(b) Suppose that A and B are square matrices such that AB = BA. Show that (A + B) 2 = A2 + 2AB + B2.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.