A) 5
B) 25
C) -1
D) 1
E) 125
Correct Answer: D
Solution :
\[|A|=\left| \,\begin{matrix} 1 & -1 & 1 \\ 0 & 2 & -3 \\ 2 & 1 & 0 \\ \end{matrix}\, \right|\]\[=1[3]+1[6]+1[-4]\] \[=5\] B = adj\[\,A=\left[ \begin{matrix} 3 & 1 & 1 \\ -6 & -2 & 3 \\ -4 & -3 & 2 \\ \end{matrix} \right]\] adj \[B=\left[ \begin{matrix} 5 & -5 & 5 \\ 0 & 10 & -15 \\ 10 & 5 & 0 \\ \end{matrix} \right]=5A\]and \[C=5A\] C =adj B; \[|C|\] = |adj B|; \ \[\frac{|adj\,B|}{|C|}\]=1.You need to login to perform this action.
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