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Mathematics

Write the additive inverse of matrices A, B and C :

where A = [6−5];B=[−204−1] and C=[−74].\begin{bmatrix} 6 & -5 \end{bmatrix}; B = \begin{bmatrix} -2 & 0 \ 4 & -1 \end{bmatrix} \text{ and C} = \begin{bmatrix} -7 \ 4 \end{bmatrix}.

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Answer

Additive inverse in the negative of a matrix.

Additive inverse of A = -A = −[6−5]=[−65].-\begin{bmatrix} 6 & -5 \end{bmatrix} = \begin{bmatrix} -6 & 5 \end{bmatrix}.

Additive inverse of B = -B = −[−204−1]=[20−41].-\begin{bmatrix} -2 & 0 \ 4 & -1 \end{bmatrix} = \begin{bmatrix} 2 & 0 \ -4 & 1 \end{bmatrix}.

Additive inverse of C = -C = −[−74]=[7−4].-\begin{bmatrix} -7 \ 4 \end{bmatrix} = \begin{bmatrix} 7 \ -4 \end{bmatrix}.

Hence, additive inverse of A, B and C are [−65],[20−41] and [7−4]\begin{bmatrix} -6 & 5 \end{bmatrix}, \begin{bmatrix} 2 & 0 \ -4 & 1 \end{bmatrix} \text{ and } \begin{bmatrix} 7 \ -4 \end{bmatrix} respectively.

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