Lesson 10 The Arithmetic of Matrices Practice Understanding

Ready

Graph each relationship that is given in the table or equation on the grid provided.

$y = 3 x - 5$

$y = - 2 x$

$y = 6 x - 7$

Perform each of the operations indicated on the matrices given.

$[\begin{array}{rr} - 3 & 5 \\ 4 & - 7 \end{array}] + [\begin{array}{rr} 8 & 9 \\ - 6 & - 5 \end{array}]$

$[\begin{array}{rr} 11 & - 12 \\ - 4 & 6 \\ 5 & 8 \end{array}] - [\begin{array}{rr} 1 & - 20 \\ - 15 & 9 \\ 2 & - 2 \end{array}]$

$5 \times [\begin{array}{rr} 4 & - 2 & 9 \\ 5 & 7 & - 8 \end{array}]$

$[\begin{array}{rr} 6 & 7 & 8 \\ - 3 & 5 & - 2 \end{array}] + 4 [\begin{array}{rr} - 7 & 2 & 1 \\ 1 & - 2 & - 5 \end{array}]$

$4 \times [\begin{array}{rr} 1 & 5 \\ 7 & 6 \\ 5 & 4 \end{array}]$

$3 \times [\begin{array}{rr} 4 & 8 \\ 0 & 7 \end{array}] - [\begin{array}{rr} 1 & 4 \\ 7 & 5 \end{array}]$

$[\begin{array}{rr} 3 & 5 \\ 4 & - 7 \end{array}] \cdot [\begin{array}{rr} 8 & 9 \\ 6 & 0 \end{array}]$

$[\begin{array}{rr} 2 & 0 \\ 1 & - 2 \\ 3 & 5 \end{array}] \times [\begin{array}{rr} 1 & 7 \\ 4 & 0 \end{array}]$

Evaluate each expression given $x = 7$ , $y = - 3$ , and $z = 5$ .

$\frac{x y - z}{2}$

$5 x - 2^{3} + {(2 y + z)}^{4}$

$\frac{{(z - 3)}^{6}}{6 y - 2 x}$

${(6 x - 5 y + 4 z)}^{2}$

$\frac{2 (x - z)}{6}$

$5 (y - 6) - (y - 6) + 2 y - 12$