Finite Math Examples

$- 9 [\begin{array}{c} - 6 & 6 & 4 \\ - 7 & 2 & 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Step 1

Simplify each term.

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Multiply $- 9$ by each element of the matrix.

$[\begin{array}{c} - 9 \cdot - 6 & - 9 \cdot 6 & - 9 \cdot 4 \\ - 9 \cdot - 7 & - 9 \cdot 2 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Simplify each element in the matrix.

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Multiply $- 9$ by $- 6$ .

$[\begin{array}{c} 54 & - 9 \cdot 6 & - 9 \cdot 4 \\ - 9 \cdot - 7 & - 9 \cdot 2 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 9$ by $6$ .

$[\begin{array}{c} 54 & - 54 & - 9 \cdot 4 \\ - 9 \cdot - 7 & - 9 \cdot 2 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 9$ by $4$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ - 9 \cdot - 7 & - 9 \cdot 2 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 9$ by $- 7$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 9 \cdot 2 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 9$ by $2$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 9 \cdot 3 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 9$ by $3$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] - 2 [\begin{array}{c} 3 & - 5 & - 3 \\ 7 & - 6 & - 2 \end{array}]$

Multiply $- 2$ by each element of the matrix.

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 2 \cdot 3 & - 2 \cdot - 5 & - 2 \cdot - 3 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot - 2 \end{array}]$

Simplify each element in the matrix.

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Multiply $- 2$ by $3$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & - 2 \cdot - 5 & - 2 \cdot - 3 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot - 2 \end{array}]$

Multiply $- 2$ by $- 5$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & 10 & - 2 \cdot - 3 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot - 2 \end{array}]$

Multiply $- 2$ by $- 3$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & 10 & 6 \\ - 2 \cdot 7 & - 2 \cdot - 6 & - 2 \cdot - 2 \end{array}]$

Multiply $- 2$ by $7$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & 10 & 6 \\ - 14 & - 2 \cdot - 6 & - 2 \cdot - 2 \end{array}]$

Multiply $- 2$ by $- 6$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & 10 & 6 \\ - 14 & 12 & - 2 \cdot - 2 \end{array}]$

Multiply $- 2$ by $- 2$ .

$[\begin{array}{c} 54 & - 54 & - 36 \\ 63 & - 18 & - 27 \end{array}] + [\begin{array}{c} - 6 & 10 & 6 \\ - 14 & 12 & 4 \end{array}]$

Step 2

Add the corresponding elements.

$[\begin{array}{c} 54 - 6 & - 54 + 10 & - 36 + 6 \\ 63 - 14 & - 18 + 12 & - 27 + 4 \end{array}]$

Step 3

Simplify each element.

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Subtract $6$ from $54$ .

$[\begin{array}{c} 48 & - 54 + 10 & - 36 + 6 \\ 63 - 14 & - 18 + 12 & - 27 + 4 \end{array}]$

Add $- 54$ and $10$ .

$[\begin{array}{c} 48 & - 44 & - 36 + 6 \\ 63 - 14 & - 18 + 12 & - 27 + 4 \end{array}]$

Add $- 36$ and $6$ .

$[\begin{array}{c} 48 & - 44 & - 30 \\ 63 - 14 & - 18 + 12 & - 27 + 4 \end{array}]$

Subtract $14$ from $63$ .

$[\begin{array}{c} 48 & - 44 & - 30 \\ 49 & - 18 + 12 & - 27 + 4 \end{array}]$

Add $- 18$ and $12$ .

$[\begin{array}{c} 48 & - 44 & - 30 \\ 49 & - 6 & - 27 + 4 \end{array}]$

Add $- 27$ and $4$ .

$[\begin{array}{c} 48 & - 44 & - 30 \\ 49 & - 6 & - 23 \end{array}]$