Yes, matrices A and B are inverses of each other.
To confirm this, we can multiply matrices A and B together and check if the result is the identity matrix.
A * B = [-5 -18 2 7] * [7 18 -2 -5]
= [(-5*7) + (-18*(-2)) + (2*(-2)) + (7*(-5)) (-5*18) + (-18*18) + (2*(-5)) + (7*18) (-5*(-2)) + (-18*(-2)) + (2*18) + (7*(-2)) (-5*(-5)) + (-18*(-5)) + (2*(-5)) + (7*(-5))]
= [-35 + 36 - 4 - 35 -90 - 324 - 10 + 126 10 + 36 + 36 - 14 25 + 90 - 10 - 35]
= [-38 - 39 -298 34 70]
≠ Identity matrix
As the result is not the identity matrix, matrices A and B are not inverses of each other.
are matrices A and B inverses
A =[-5 -18 2 7] and B=[7 18 -2 -5]
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