Find the values of the variables for which the statement is true, if possible.
-$\left[ \begin{array} { r r } 8 & - 1 \ 4 & 5 \end{array} \right] = \left[ \begin{array} { r r } x & - 1 \ y & z \end{array} \right]$
A) $x = 8 ; y = 4 ; z = 5$
B) $x = 4 ; y = 5 ; z = 8$
C) $x = - 8 ; y = 5 ; z = 4$
D) $x = - 8 ; y = - 4 ; z = - 5$

Question

Quizplus · Accepted Answer

For two matrices to be equal, their corresponding elements must be equal. Comparing the given matrices, $x = 8$, $y = 4$, and $z = 5$.

Find the Values of the Variables for Which the Statement [8−145]=[x−1yz]\left[ \begin{array} { r r } 8 & - 1 \\ 4 & 5 \end{array} \right] = \left[ \begin{array} { r r } x & - 1 \\ y & z \end{array} \right][84​−15​]=[xy​−1z​]

Find the Values of the Variables for Which the Statement $\left[ \begin{array} { r r } 8 & - 1 \\ 4 & 5 \end{array} \right] = \left[ \begin{array} { r r } x & - 1 \\ y & z \end{array} \right]$