18. Find k, if A= 14 and if A2 = kA...
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18. Find k, if A= 14 and if A2 = kA - 21. -21

JEE/Engineering Exams
Maths
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( A=left[begin{array}{cc}3 & -2 4 & -2end{array}right] ) ( A^{2}=k A-2 ) ( left.left[begin{array}{c}3 4end{array}right]-begin{array}{c}2 -2end{array}right]left[begin{array}{cc}0 & -2 -4 & -2end{array}right] ) ( A^{2}=left[begin{array}{ll}1 & -2 4 & -4end{array}right] ) ( left[begin{array}{cc}1 & -2 4 & -4end{array}right]=kleft[begin{array}{cc}3 & -2 4 & -2end{array}right]-left[begin{array}{cc}sqrt{2} & 0 0 & 2end{array}right] ) ( left[begin{array}{cc}1 & -2 4 & -4end{array}right]+left[begin{array}{ll}2 & 0 0 & 2end{array}right]=kleft[begin{array}{ll}3 & -2 4 & -2end{array}right] ) ( left[begin{array}{cc}3 & -2 4 & -2 1 & 1end{array}right]=Fleft[begin{array}{cc}3 & -2 4 & -2end{array}right] )
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