Q61. - Algebra 2

Question

Find the product, if possible.

 

$\left(\begin{array}{c}5\\ 7\end{array}\right)\left(\begin{array}{cc}1& 6\\ -4& 2\end{array}\right)$

Step-by-Step Solution

Answer

The product is not possible.

Step 1- Apply the concept of multiplication of matrix.

Matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

Step 2- Step description.

To multiply the two matrices the number of columns in the first matrix is must be equal to the number of rows in the second matrix.

 

Here the number of columns in first matrix is not equal to the number of rows in the second matrix thus product is not possible.

Step 3- Step description.

Therefore, the product of the matrix is not possible.