Question

find the matrix x if 3A+5B+2x=0​

Answer 1

$\textbf{Given:}$

$\mathsf{A=\left(\begin{array}{cc}9&1\\4&3\end{array}\right)}$

$\mathsf{B=\left(\begin{array}{cc}1&5\\7&12\end{array}\right)}$

$\mathsf{and\;3A+5B+2X=0}$

$\textbf{To find:}$

$\textsf{The matrix X}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{3A+5B+2X=0}$

$\mathsf{3\left(\begin{array}{cc}9&1\\4&3\end{array}\right)+5\left(\begin{array}{cc}1&5\\7&12\end{array}\right)+2X=0}$

$\mathsf{\left(\begin{array}{cc}27&3\\12&9\end{array}\right)+\left(\begin{array}{cc}5&25\\35&60\end{array}\right)+2X=0}$

$\mathsf{\left(\begin{array}{cc}32&28\\47&69\end{array}\right)+2X=0}$

$\mathsf{2X=-\left(\begin{array}{cc}32&28\\47&69\end{array}\right)}$

$\mathsf{X=\dfrac{-1}{2}\left(\begin{array}{cc}32&28\\47&69\end{array}\right)}$

$\implies\boxed{\mathsf{X=\left(\begin{array}{cc}-16&-14\\\frac{-47}{2}&\frac{-69}{2}\end{array}\right)}}$

$\textbf{Find more:}$

If A=[0 2x-3 x+2 0] is a skew - symmetric matrix then x is equal to:

https://brainly.in/question/19116433

Answer 2

+456673 I don't know what is the answer