Chapter 4.2, Problem 47STP

To determine

To find: Thegiven element in the matrix.

Answer to Problem 47STP

The given element in the matrixis $y$ .

Explanation of Solution

Given information:

The matrix is $A=\left[\begin{array}{cc}-3& 6\\ -5& x\\ 8& 4y\end{array}\right],B=\left[\begin{array}{ccc}16& 4& x\\ -2& 9& y\end{array}\right],C=\left[\begin{array}{cccc}9& -5& 3& 2\\ 0& -6& 8& 1\end{array}\right]$ and the element is $b_{23}$ .

Calculation:

Consider the matrix.

  $A=\left[\begin{array}{cc}-3& 6\\ -5& x\\ 8& 4y\end{array}\right],B=\left[\begin{array}{ccc}16& 4& x\\ -2& 9& y\end{array}\right],C=\left[\begin{array}{cccc}9& -5& 3& 2\\ 0& -6& 8& 1\end{array}\right]$

The element $b_{23}$ is the element of matrix Bof secondrow and third column.

Thus, the elementis $y$ .