Finite Math Examples

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 588 & 8 \\ 8 & 8 \end{array}] \cdot 8$

Step 1

Simplify each term.

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Step 1.1

Move $8$ to the left of $[\begin{array}{c} 588 & 8 \\ 8 & 8 \end{array}]$ .

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + 8 \cdot [\begin{array}{c} 588 & 8 \\ 8 & 8 \end{array}]$

Step 1.2

Multiply $8$ by each element of the matrix.

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 8 \cdot 588 & 8 \cdot 8 \\ 8 \cdot 8 & 8 \cdot 8 \end{array}]$

Step 1.3

Simplify each element in the matrix.

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Step 1.3.1

Multiply $8$ by $588$ .

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 4704 & 8 \cdot 8 \\ 8 \cdot 8 & 8 \cdot 8 \end{array}]$

Step 1.3.2

Multiply $8$ by $8$ .

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 4704 & 64 \\ 8 \cdot 8 & 8 \cdot 8 \end{array}]$

Step 1.3.3

Multiply $8$ by $8$ .

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 4704 & 64 \\ 64 & 8 \cdot 8 \end{array}]$

Step 1.3.4

Multiply $8$ by $8$ .

$[\begin{array}{c} 2 & 23 \\ 3 & 54 \end{array}] + [\begin{array}{c} 4704 & 64 \\ 64 & 64 \end{array}]$

Step 2

Add the corresponding elements.

$[\begin{array}{c} 2 + 4704 & 23 + 64 \\ 3 + 64 & 54 + 64 \end{array}]$

Step 3

Simplify each element.

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Step 3.1

Add $2$ and $4704$ .

$[\begin{array}{c} 4706 & 23 + 64 \\ 3 + 64 & 54 + 64 \end{array}]$

Step 3.2

Add $23$ and $64$ .

$[\begin{array}{c} 4706 & 87 \\ 3 + 64 & 54 + 64 \end{array}]$

Step 3.3

Add $3$ and $64$ .

$[\begin{array}{c} 4706 & 87 \\ 67 & 54 + 64 \end{array}]$

Step 3.4

Add $54$ and $64$ .

$[\begin{array}{c} 4706 & 87 \\ 67 & 118 \end{array}]$