find-the-multiplicative-inverse-of-the-matrix-shown-by-using-the-formula-for-a-1-1

Question

Find the multiplicative inverse of the matrix shown by using the formula for A^-1. Also, verify that AA^-1 = I₂ and A^-1A = I₂, where I₂ is a multiplicative identity matrix of order 2.

Matrix A with elements 2, -3, -5, 6 and formula for A inverse.

Accepted Answer

Second attempt at A inverse showing incorrect values.

Answer

First attempt at A inverse showing incorrect values.

Answer

Third attempt at A inverse showing incorrect values.

Answer

The inverse does not exist.

Find the multiplicative inverse of the matrix shown by using the formula for A-1. Also, verify that AA-1 = I2 and A-1A = I2, where I2 is a multiplicative identity matrix of order 2.

Find the multiplicative inverse of the matrix shown by using the formula for A^-1. Also, verify that AA^-1 = I₂ and A^-1A = I₂, where I₂ is a multiplicative identity matrix of order 2.