Let A and B are two 3×3 non-zero real matrices and AB=0, then which of the following option is correct ?

Are there two 3 by 3 matrices A and B, both of rank 2,such that AB is the zero matrix? Explain your answer.1

Which of the following is true for Matrix A that has 3 rows and 3 columns, Matrix B that has 3 rows and 3 columns?A. AB = BAB. A+B = B+ASelect an option Clear ResponseBoth A and BOnly AOnly BNone of the given options

If A and B are 3 × 3 real matrices such that rank(AB) = 1, then rank(BA) cannot be

Two matrices A and B are multiplied to get AB if:Question 29Answera.No. of rows of A is equal to no. of columns of B.b.None of these.c.Both are rectangular.d.Both have same order.

Consider the matrices and  .Calculate .