Algebra Examples

$4 c [\begin{array}{c} 0 \\ 6 \\ 0 \\ 3 a \end{array}]$

Step 1

Multiply $4 c$ by each element of the matrix.

$[\begin{array}{c} 4 c \cdot 0 \\ 4 c \cdot 6 \\ 4 c \cdot 0 \\ 4 c (3 a) \end{array}]$

Step 2

Simplify each element in the matrix.

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Step 2.1

Multiply $4 c \cdot 0$ .

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Step 2.1.1

Multiply $0$ by $4$ .

$[\begin{array}{c} 0 c \\ 4 c \cdot 6 \\ 4 c \cdot 0 \\ 4 c (3 a) \end{array}]$

Step 2.1.2

Multiply $0$ by $c$ .

$[\begin{array}{c} 0 \\ 4 c \cdot 6 \\ 4 c \cdot 0 \\ 4 c (3 a) \end{array}]$

Step 2.2

Multiply $6$ by $4$ .

$[\begin{array}{c} 0 \\ 24 c \\ 4 c \cdot 0 \\ 4 c (3 a) \end{array}]$

Step 2.3

Multiply $4 c \cdot 0$ .

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Step 2.3.1

Multiply $0$ by $4$ .

$[\begin{array}{c} 0 \\ 24 c \\ 0 c \\ 4 c (3 a) \end{array}]$

Step 2.3.2

Multiply $0$ by $c$ .

$[\begin{array}{c} 0 \\ 24 c \\ 0 \\ 4 c (3 a) \end{array}]$

Step 2.4

Rewrite using the commutative property of multiplication.

$[\begin{array}{c} 0 \\ 24 c \\ 0 \\ 4 \cdot 3 c a \end{array}]$

Step 2.5

Multiply $4$ by $3$ .

$[\begin{array}{c} 0 \\ 24 c \\ 0 \\ 12 c a \end{array}]$