[tex]\displaystyle\sf~ \begin{bmatrix} 0 & 7 \\ 4 & 5 \end{bmatrix}[/tex]
Penjelasan dengan langkah-langkah:
matriks
[tex]\displaystyle\sf~ A = \begin{bmatrix} 3 & - 1 \\ 2 & 1 \end{bmatrix}[/tex]
[tex]\displaystyle\sf~ B = \begin{bmatrix} - 2 & 3 \\ 0 & 1 \end{bmatrix}[/tex]
2A + 3B = ...?
[tex]\begin{aligned} \displaystyle\sf~2A + 3B & = 2\displaystyle\sf~ \begin{bmatrix} 3 & - 1 \\ 2 & 1 \end{bmatrix} + 3\displaystyle\sf~ \begin{bmatrix} - 2 & 3 \\ 0 & 1 \end{bmatrix} \\ \\ &= \displaystyle\sf~ \begin{bmatrix} 6 & - 2 \\ 4 & 2 \end{bmatrix} + \displaystyle\sf~ \begin{bmatrix} - 6 & 9 \\ 0 & 3 \end{bmatrix} \\ \\ & = \displaystyle\sf~ \begin{bmatrix} 0 & 7 \\ 4 & 5 \end{bmatrix} \end{aligned}[/tex]
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[tex]\displaystyle\sf~ \begin{bmatrix} 0 & 7 \\ 4 & 5 \end{bmatrix}[/tex]
Penjelasan dengan langkah-langkah:
Diketahui:
matriks
[tex]\displaystyle\sf~ A = \begin{bmatrix} 3 & - 1 \\ 2 & 1 \end{bmatrix}[/tex]
[tex]\displaystyle\sf~ B = \begin{bmatrix} - 2 & 3 \\ 0 & 1 \end{bmatrix}[/tex]
Ditanya:
2A + 3B = ...?
Penyelesaian:
[tex]\begin{aligned} \displaystyle\sf~2A + 3B & = 2\displaystyle\sf~ \begin{bmatrix} 3 & - 1 \\ 2 & 1 \end{bmatrix} + 3\displaystyle\sf~ \begin{bmatrix} - 2 & 3 \\ 0 & 1 \end{bmatrix} \\ \\ &= \displaystyle\sf~ \begin{bmatrix} 6 & - 2 \\ 4 & 2 \end{bmatrix} + \displaystyle\sf~ \begin{bmatrix} - 6 & 9 \\ 0 & 3 \end{bmatrix} \\ \\ & = \displaystyle\sf~ \begin{bmatrix} 0 & 7 \\ 4 & 5 \end{bmatrix} \end{aligned}[/tex]