Finite Math Examples

$[\begin{array}{c} 0.75 & 0.25 & 0 \\ 0.5 & 0.25 & 0.25 \\ 0.25 & 0.5 & 0.25 \end{array}] \cdot 1440$

Step 1

Move $1440$ to the left of $[\begin{array}{c} 0.75 & 0.25 & 0 \\ 0.5 & 0.25 & 0.25 \\ 0.25 & 0.5 & 0.25 \end{array}]$ .

$1440 \cdot [\begin{array}{c} 0.75 & 0.25 & 0 \\ 0.5 & 0.25 & 0.25 \\ 0.25 & 0.5 & 0.25 \end{array}]$

Step 2

Multiply $1440$ by each element of the matrix.

$[\begin{array}{c} 1440 \cdot 0.75 & 1440 \cdot 0.25 & 1440 \cdot 0 \\ 1440 \cdot 0.5 & 1440 \cdot 0.25 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3

Simplify each element in the matrix.

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Step 3.1

Multiply $1440$ by $0.75$ .

$[\begin{array}{c} 1080 & 1440 \cdot 0.25 & 1440 \cdot 0 \\ 1440 \cdot 0.5 & 1440 \cdot 0.25 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.2

Multiply $1440$ by $0.25$ .

$[\begin{array}{c} 1080 & 360 & 1440 \cdot 0 \\ 1440 \cdot 0.5 & 1440 \cdot 0.25 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.3

Multiply $1440$ by $0$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 1440 \cdot 0.5 & 1440 \cdot 0.25 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.4

Multiply $1440$ by $0.5$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 1440 \cdot 0.25 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.5

Multiply $1440$ by $0.25$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 360 & 1440 \cdot 0.25 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.6

Multiply $1440$ by $0.25$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 360 & 360 \\ 1440 \cdot 0.25 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.7

Multiply $1440$ by $0.25$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 360 & 360 \\ 360 & 1440 \cdot 0.5 & 1440 \cdot 0.25 \end{array}]$

Step 3.8

Multiply $1440$ by $0.5$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 360 & 360 \\ 360 & 720 & 1440 \cdot 0.25 \end{array}]$

Step 3.9

Multiply $1440$ by $0.25$ .

$[\begin{array}{c} 1080 & 360 & 0 \\ 720 & 360 & 360 \\ 360 & 720 & 360 \end{array}]$