If A=[3 -2;1 4] and B=[0 -1;3 2]. what is AB?
To multiply two matrices, we need to multiply the corresponding elements of the rows of the first matrix by the corresponding elements of the columns of the second matrix, and then sum the results.
Given A = [3 -2; 1 4] and B = [0 -1; 3 2], the matrix AB can be calculated as follows:
AB = [3 * 0 + (-2) * 3, 3 * (-1) + (-2) * 2;
1 * 0 + 4 * 3, 1 * (-1) + 4 * 2]
Simplifying the expressions, we get:
AB = [-6, -9;
12, 7]
Therefore, AB = [-6 -9; 12 7].