Question

A = [[2, 4], [3, 9]] B = [[- 3, - 9], [- 2, - 4]] - N * A + 2NB =?

Answer 1

To compute the expression -N * A + 2 * N * B, where:

A = [[2, 4], [3, 9]] B = [[-3, -9], [-2, -4]]

we can multiply each matrix by its respective scalar value and then perform the addition. Let's go step by step:

1. -N * A: We multiply matrix A by -N (scalar multiplication): -N * A = [[-N * 2, -N * 4], [-N * 3, -N * 9]]

2. 2 * N * B: We multiply matrix B by 2N (scalar multiplication): 2 * N * B = [[2N * -3, 2N * -9], [2N * -2, 2N * -4]]

Now we can simplify the expressions:

-N * A = [[-2N, -4N], [-3N, -9N]] 2 * N * B = [[-6N, -18N], [-4N, -8N]]

Finally, we can add the two matrices together:

-N * A + 2 * N * B = [[-2N + (-6N), -4N + (-18N)], [-3N + (-4N), -9N + (-8N)]] = [[-8N, -22N], [-7N, -17N]]

So, the result of the expression -N * A + 2 * N * B is [[-8N, -22N], [-7N, -17N]].