Chapter 16.1, Problem 9OE

To determine

To find: the value of given variable.

Answer to Problem 9OE

The elements in corresponding positions.

  $y=1$ and $x=-4$ .

Explanation of Solution

Given information:

Given symbol,

  $\left[\begin{array}{c}1\\ 0\\ x\end{array}\right]=\left[\begin{array}{c}y\\ 0\\ -4\end{array}\right]$

Calculation:

If two matrices have the same dimensions and the elements in all corresponding positions are equal, then the matrices are equal.

Since the matrices are equal, equate the elements in corresponding positions.

  $y=1$ and $x=-4$ .