Does the matrix A = [[3, - 8], [2, - 5]] have an inverse? If so, what is it? (1 point
Yes, the matrix A = [[3, -8], [2, -5]] has an inverse.
To find the inverse of a 2x2 matrix, we apply the formula:
A^(-1) = 1/(ad - bc) * [[d, -b], [-c, a]]
Let's calculate:
a = 3
b = -8
c = 2
d = -5
ad - bc = (3)(-5) - (-8)(2) = -15 + 16 = 1
Therefore, the inverse of matrix A is:
A^(-1) = 1 * [[-5, 8], [-2, 3]] = [[-5, 8], [-2, 3]]