Finite Math Examples

$2 [\begin{array}{c} 4 & 4 \\ 6 & - 6 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1

Simplify each term.

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Step 1.1

Multiply $2$ by each element of the matrix.

$[\begin{array}{c} 2 \cdot 4 & 2 \cdot 4 \\ 2 \cdot 6 & 2 \cdot - 6 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1.2

Simplify each element in the matrix.

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Step 1.2.1

Multiply $2$ by $4$ .

$[\begin{array}{c} 8 & 2 \cdot 4 \\ 2 \cdot 6 & 2 \cdot - 6 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1.2.2

Multiply $2$ by $4$ .

$[\begin{array}{c} 8 & 8 \\ 2 \cdot 6 & 2 \cdot - 6 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1.2.3

Multiply $2$ by $6$ .

$[\begin{array}{c} 8 & 8 \\ 12 & 2 \cdot - 6 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1.2.4

Multiply $2$ by $- 6$ .

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] - 2 [\begin{array}{c} - 21 & - 15 \\ 62 & - 9 \end{array}]$

Step 1.3

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

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] + [\begin{array}{c} - 2 \cdot - 21 & - 2 \cdot - 15 \\ - 2 \cdot 62 & - 2 \cdot - 9 \end{array}]$

Step 1.4

Simplify each element in the matrix.

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Step 1.4.1

Multiply $- 2$ by $- 21$ .

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] + [\begin{array}{c} 42 & - 2 \cdot - 15 \\ - 2 \cdot 62 & - 2 \cdot - 9 \end{array}]$

Step 1.4.2

Multiply $- 2$ by $- 15$ .

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] + [\begin{array}{c} 42 & 30 \\ - 2 \cdot 62 & - 2 \cdot - 9 \end{array}]$

Step 1.4.3

Multiply $- 2$ by $62$ .

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] + [\begin{array}{c} 42 & 30 \\ - 124 & - 2 \cdot - 9 \end{array}]$

Step 1.4.4

Multiply $- 2$ by $- 9$ .

$[\begin{array}{c} 8 & 8 \\ 12 & - 12 \end{array}] + [\begin{array}{c} 42 & 30 \\ - 124 & 18 \end{array}]$

Step 2

Add the corresponding elements.

$[\begin{array}{c} 8 + 42 & 8 + 30 \\ 12 - 124 & - 12 + 18 \end{array}]$

Step 3

Simplify each element.

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Step 3.1

Add $8$ and $42$ .

$[\begin{array}{c} 50 & 8 + 30 \\ 12 - 124 & - 12 + 18 \end{array}]$

Step 3.2

Add $8$ and $30$ .

$[\begin{array}{c} 50 & 38 \\ 12 - 124 & - 12 + 18 \end{array}]$

Step 3.3

Subtract $124$ from $12$ .

$[\begin{array}{c} 50 & 38 \\ - 112 & - 12 + 18 \end{array}]$

Step 3.4

Add $- 12$ and $18$ .

$[\begin{array}{c} 50 & 38 \\ - 112 & 6 \end{array}]$