Linear Algebra Examples

$17 \cdot [\begin{array}{c} 14 & 25 & 7 \\ 7 & 1 & 8 \\ 6 & 0 & 1 \end{array}]$

Step 1

Multiply $17$ by each element of the matrix.

$[\begin{array}{c} 17 \cdot 14 & 17 \cdot 25 & 17 \cdot 7 \\ 17 \cdot 7 & 17 \cdot 1 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $17$ by $14$ .

$[\begin{array}{c} 238 & 17 \cdot 25 & 17 \cdot 7 \\ 17 \cdot 7 & 17 \cdot 1 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.2

Multiply $17$ by $25$ .

$[\begin{array}{c} 238 & 425 & 17 \cdot 7 \\ 17 \cdot 7 & 17 \cdot 1 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.3

Multiply $17$ by $7$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 17 \cdot 7 & 17 \cdot 1 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.4

Multiply $17$ by $7$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 \cdot 1 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.5

Multiply $17$ by $1$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 & 17 \cdot 8 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.6

Multiply $17$ by $8$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 & 136 \\ 17 \cdot 6 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.7

Multiply $17$ by $6$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 & 136 \\ 102 & 17 \cdot 0 & 17 \cdot 1 \end{array}]$

Step 2.8

Multiply $17$ by $0$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 & 136 \\ 102 & 0 & 17 \cdot 1 \end{array}]$

Step 2.9

Multiply $17$ by $1$ .

$[\begin{array}{c} 238 & 425 & 119 \\ 119 & 17 & 136 \\ 102 & 0 & 17 \end{array}]$