Finite Math Examples

$[\begin{array}{c} 0.3 & 0.3 \\ 0.35 & 0.4 \end{array}] x [\begin{array}{c} 4 \\ 6 \end{array}]$

Step 1

Multiply each row in the first matrix by each column in the second matrix.

$x [\begin{array}{c} 0.3 \cdot 4 + 0.3 \cdot 6 \\ 0.35 \cdot 4 + 0.4 \cdot 6 \end{array}]$

Step 2

Simplify each element of the matrix by multiplying out all the expressions.

$x [\begin{array}{c} 3 \\ 3.8 \end{array}]$

Step 3

Multiply $x$ by each element of the matrix.

$[\begin{array}{c} x \cdot 3 \\ x \cdot 3.8 \end{array}]$

Step 4

Simplify each element in the matrix.

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Move $3$ to the left of $x$ .

$[\begin{array}{c} 3 x \\ x \cdot 3.8 \end{array}]$

Move $3.8$ to the left of $x$ .

$[\begin{array}{c} 3 x \\ 3.8 x \end{array}]$