Question

Determine whether A and B are invertible or not A=[[-4,3],[3,-2]],B=[[2,3],[3,4]]

Answer 1

Matrices A and B are invertible

Step-by-step explanation:

In order to determine if matrices A and B are invertible, we need to find the determinant of each matrix. A matrix is invertible if and only if its determinant is non-zero.

For matrix A, the determinant is calculated as follows:

|A| = (-4)(-2) - (3)(3) = 8 - 9 = -1.

For matrix B, the determinant is calculated as follows:

|B| = (2)(4) - (3)(3) = 8 - 9 = -1.

Since the determinants of both matrices A and B are non-zero (-1), this means that both matrices are invertible.