An n × n matrix A is said to be invertible (or nonsingular) if there is another...

An n × n matrix A is said to be invertible (or nonsingular) if there is another n × n matrix B with the property that

AB = BA = I_n

where I _n denotes the n × n identity matrix. (See Exercise 20.) The matrix B is called an inverse to the matrix A. Exercises 30–38 concern various aspects of matrices and their inverses.

Repeat Exercise 37 with the matrix