Question

(2,1)(-4,6) additive inverse​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{\left(\begin{array}{cc}2&1\\-4&6\end{array}\right)}$

$\underline{\textbf{To find:}}$

$\textsf{Additive inverse of}\;\mathsf{\left(\begin{array}{cc}2&1\\-4&6\end{array}\right)}$

$\underline{\textbf{Solution:}}$

$\underline{\textsf{Concept used:}}$

$\textbf{A matrix B is said to be additive inverse of A}$

$\textbf{if A+B=0}$

$\mathsf{Let\;A=\left(\begin{array}{cc}2&1\\-4&6\end{array}\right)}$

$\mathsf{Then,}$

$\textsf{Additive inverse of A is -A}$

$\mathsf{=-\left(\begin{array}{cc}2&1\\-4&6\end{array}\right)}$

$\mathsf{=\left(\begin{array}{cc}-2&-1\\4&-6\end{array}\right)}$

$\therefore\mathsf{Additive\;inverrse\;of\;\left(\begin{array}{cc}2&1\\-4&6\end{array}\right)\;is\;\left(\begin{array}{cc}-2&-1\\4&-6\end{array}\right)}$

$\underline{\textbf{Find more:}}$

Find the matrix x if 3A+5B+2x=0​

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