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Find non-zero value of $x$ satisfying the matrix equation
$x [\begin{matrix} 2 x & 2 \\ 3 & x \end{matrix}] + 2 [\begin{matrix} 8 & 5 x \\ 4 & 4 x \end{matrix}] = 2 [\begin{matrix} x^{2} + 8 & 24 \\ 10 & 6 x \end{matrix}]$

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detailed solution

Correct option is D

x2x23x+285x44x=2x2+824106x2x22x3xx2+1610x88x=2x2+16482012x2x2+1612x3x+8x2+8x=2x2+16482012x12x=48x=4

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Find non-zero value of xsatisfying the matrix equationx2x23x+285x44x=2x2+824106x

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Find non-zero value of $x$ satisfying the matrix equation
$x [\begin{matrix} 2 x & 2 \\ 3 & x \end{matrix}] + 2 [\begin{matrix} 8 & 5 x \\ 4 & 4 x \end{matrix}] = 2 [\begin{matrix} x^{2} + 8 & 24 \\ 10 & 6 x \end{matrix}]$