Question

If A is 3 x 3 matrix whose rank is 2 and B is 3 x 3 matrix whose rank is 3, then rank of AB is
pls give step by step explanation
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Answer 1

Answer:

To solve these kind of questions you should always remember that if A and B are matrices then rank of AB is always less than or equal to rank of matrix A . And if the matrix B is a non -singular matrix then rank of AB is equal to A . So in case if B is a non -singular matrix then rank of (AB)= rank(A)=2 (given).

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