Finite Math Examples

$c = 2 \cdot [\begin{array}{c} 3 \\ - 1 \end{array}] - [\begin{array}{c} 2 \\ 2 \end{array}]$

Step 1

Simplify each term.

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Step 1.1

Multiply $2$ by each element of the matrix.

$c = [\begin{array}{c} 2 \cdot 3 \\ 2 \cdot - 1 \end{array}] - [\begin{array}{c} 2 \\ 2 \end{array}]$

Step 1.2

Simplify each element in the matrix.

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Step 1.2.1

Multiply $2$ by $3$ .

$c = [\begin{array}{c} 6 \\ 2 \cdot - 1 \end{array}] - [\begin{array}{c} 2 \\ 2 \end{array}]$

Step 1.2.2

Multiply $2$ by $- 1$ .

$c = [\begin{array}{c} 6 \\ - 2 \end{array}] - [\begin{array}{c} 2 \\ 2 \end{array}]$

Step 2

Subtract the corresponding elements.

$c = [\begin{array}{c} 6 - 2 \\ - 2 - 2 \end{array}]$

Step 3

Simplify each element.

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Step 3.1

Subtract $2$ from $6$ .

$c = [\begin{array}{c} 4 \\ - 2 - 2 \end{array}]$

Step 3.2

Subtract $2$ from $- 2$ .

$c = [\begin{array}{c} 4 \\ - 4 \end{array}]$