1. (Matrix Multiplication) If A has dimension 5 x 4 and B has dimension 4 x 5, h

Question

1. (Matrix Multiplication) If A has dimension 5 x 4 and B has dimension 4 x 5, how many rows does the matrix BA have? 2. (Matrix Multiplication) If AB has dimension 7 x 4 and B has dimension 3 x 4, how many rows does the matrix A have? 3·(Matrix Multiplication) If A has dimension 7 x 4 and B has dimension 3 x 4, then AB has dimension 7 x 3. 4. (Matrix Multiplication) If A has dimension 7 x 5 and B has dimension 5 x 4, how many columns does the matrix (AB)' have? 5·(Matrix Multiplication) If A has dimension 7 x 5, how many rows does the matrix (kA)' have?

Explanation / Answer

1. Number of rows in matrix BA(4 x 4) = 4

2. Number of rows in matrix A(7 x 3) = 7

3. not possible to find matrix AB.

4. AB = (7 x 4) then (AB)' = 4 x 7. thus column in (AB)' = 7

5. Rows in matrix (kA)' = 7

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