Simplify the Matrix [[6,y],[18,z]]-3[[x+1,2],[0,1]]=[[18,17],[9w,4z]]

$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] - 3 [\begin{array}{c} x + 1 & 2 \\ 0 & 1 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$

Multiply $- 3$ by each element of the matrix.

$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] + [\begin{array}{c} - 3 x + 1 & - 3 \cdot 2 \\ - 3 \cdot 0 & - 3 \cdot 1 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$

Simplify each element in the matrix.

Rearrange $- 3 \cdot 2$ .

$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] + [\begin{array}{c} - 3 x + 1 & - 6 \\ - 3 \cdot 0 & - 3 \cdot 1 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$

Rearrange $- 3 \cdot 0$ .

$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] + [\begin{array}{c} - 3 x + 1 & - 6 \\ 0 & - 3 \cdot 1 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$

Rearrange $- 3 \cdot 1$ .

$[\begin{array}{c} 6 & y \\ 18 & z \end{array}] + [\begin{array}{c} - 3 x + 1 & - 6 \\ 0 & - 3 \end{array}] = [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}]$

Add the corresponding elements.

$[\begin{array}{c} 6 - 3 x + 1 & y - 6 \\ 18 + 0 & z - 3 \end{array}] + [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}] =$

Simplify each element of the matrix $[\begin{array}{c} 6 - 3 x + 1 & y - 6 \\ 18 + 0 & z - 3 \end{array}]$ .

Simplify $6 - 3 x + 1$ .

$[\begin{array}{c} - 3 x + 7 & y - 6 \\ 18 + 0 & z - 3 \end{array}] + [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}] =$

Simplify $18 + 0$ .

$[\begin{array}{c} - 3 x + 7 & y - 6 \\ 18 & z - 3 \end{array}] + [\begin{array}{c} 18 & 17 \\ 9 w & 4 z \end{array}] =$

Add the corresponding elements.

$[\begin{array}{c} - 3 x + 7 + 18 & y - 6 + 17 \\ 18 + 9 w & z - 3 + 4 z \end{array}] =$

Simplify each element of the matrix $[\begin{array}{c} - 3 x + 7 + 18 & y - 6 + 17 \\ 18 + 9 w & z - 3 + 4 z \end{array}]$ .

Simplify $- 3 x + 7 + 18$ .

$[\begin{array}{c} - 3 x + 25 & y - 6 + 17 \\ 18 + 9 w & z - 3 + 4 z \end{array}] =$

Simplify $y - 6 + 17$ .

$[\begin{array}{c} - 3 x + 25 & y + 11 \\ 18 + 9 w & z - 3 + 4 z \end{array}] =$

Simplify $z - 3 + 4 z$ .

$[\begin{array}{c} - 3 x + 25 & y + 11 \\ 18 + 9 w & 5 z - 3 \end{array}] =$

Simplify the Matrix [[6,y],[18,z]]-3[[x+1,2],[0,1]]=[[18,17],[9w,4z]]

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