Question

Find the inverse of ab if inverse a is 5 -3 0 2 and inverse of b is 4 1 -2 -2. What is the inverse of ab?

Answer 1

To find the inverse of ab, multiply the inverse of a and the inverse of b: inverse of ab = inverse of a * inverse of b = (5 -3 0 2) * (4 1 -2 -2) = 22 11 -4 -16.

Step-by-step explanation:

To find the inverse of ab, we need to multiply the inverse of a and the inverse of b. So, if the inverse of a is 5 -3 0 2 and the inverse of b is 4 1 -2 -2, the inverse of ab would be:

inverse of ab = inverse of a * inverse of b

= (5 -3 0 2) * (4 1 -2 -2)

= (5*4 + (-3)*(-2) + 0*(-2) + 2*1) (-5*1 + (-3)*(-2) + 0*(-2) + 2*(-2)) (5*(-2) + (-3)*(-2) + 0*(-2) + 2*(-2)) (5*(-2) + (-3)*(-2) + 0*(-2) + 2*4)

= 22 11 -4 -16