Math  /  Algebra

QuestionEvaluate the matrix expression:
2[586741]+[298256][552190] 2\begin{bmatrix} -5 & -8 \\ 6 & -7 \\ 4 & -1 \end{bmatrix} + \begin{bmatrix} -2 & -9 \\ 8 & -2 \\ 5 & 6 \end{bmatrix} - \begin{bmatrix} 5 & 5 \\ 2 & -1 \\ -9 & 0 \end{bmatrix}
Simplify the resulting matrix.

Studdy Solution
Calculate the result of the addition and subtraction.
[1025169512+82142+18+5+92+0]=[17301815224]\left[\begin{array}{rr} -10-2-5 & -16-9-5 \\ 12+8-2 & -14-2+1 \\ 8+5+9 & -2+-0\end{array}\right] = \left[\begin{array}{rr} -17 & -30 \\ 18 & -15 \\ 22 &4\end{array}\right] The resulting matrix is[17301815224]\left[\begin{array}{rr} -17 & -30 \\ 18 & -15 \\ 22 &4\end{array}\right]

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