If B is an invertible matrix and A is a matrix, then | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If B is an invertible matrix and A is a matrix, then

A

rank (BA) = rank (A)

B

rank (BA) = rank (B)

C

rank (BA) > rank (A)

D

rank (BA) > rank (B).

Answer

rank (BA) = rank (B)

Explanation

Solution

Clearly [ $\because$ rank of BA = rank of B]