Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 929: 20

$w=5$ $x=6$ $y=2$ $z=-2$

Two matrices are equal if they have the same dimension and if corresponding elements, position by position, are equal. --- The matrices are both 3$\times$3. Position by position, $5=y+3 \quad \Rightarrow \quad y=2$ $x-4=2 \quad \Rightarrow \quad x=6$ $2=z+4 \quad \Rightarrow \quad z=-2$ $5=w \quad \Rightarrow \quad w=5$