, if \[xyz=60\] and \[8x+4y+3z=20\] , then A (adj A) is equal to
A)
B)
C)
D)
Correct Answer: C
Solution :
[c] : We know, A.adj \[A=|A|I\] Here, \[\left| A \right|=xyz-8x-3(z-8)+2(2-2y)\] \[\Rightarrow \]\[\left| A \right|=xyz-(8x+3z+4y)+28=60-20+28=68\]
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