Question

if A and B are two nonsingular matrices of same order then ab is singular Matrix or not​

Answer 1

Answer:

An n×n matrix A is called nonsingular if the only vector x∈Rn satisfying the equation Ax=0 is x=0.

Using the definition of a nonsingular matrix, prove the following statements.

(a) If A and B are n×n nonsingular matrix, then the product AB is also nonsingular.

(b) Let A and B be n×n matrices and suppose that the product AB is nonsingular. Then:

The matrix B is nonsingular.

The matrix A is nonsingular. (You may use the fact that a nonsingular matrix is invertible.

Step-by-step explanation: