Chapter 2.3, Problem 12CFU

To determine

To find: value for the given case by using the matrices X , Y and Z . Write impossible if the matrix does not exist.

Answer to Problem 12CFU

Impossible

Explanation of Solution

Given information:

The given matrices are as follows:

  $X=\left[\begin{array}{cc}4& 1\\ -2& 6\end{array}\right]Y=\left[\begin{array}{cc}0& -3\end{array}\right]\text{ Z}=\left[\begin{array}{cc}-1& 3\\ 0& -2\end{array}\right]$

The given case is $ZY$ .

Calculation:

The number of columns in Z is not the same as the number of rows in Y . So these too matrices cannot be multiplied, i.e. the matrix of ZY is impossible.