A) Scalar matrix
B) Unit matrix
C) Null matrix
D) None of these
Correct Answer: C
Solution :
[c] Here, X is \[n\times 1,\] C is \[n\times n\] and \[X'\]is \[1\times n\] Hence, \[X'CX\] is \[1\times 1\] matrix. Let \[X'CX=k\]. Thus, \[(X'CX)'=X'C'X'=X'C'X'=X'(-C)X\] \[=-X'CX=-k\] \[\Rightarrow k=-k\Rightarrow k=0\Rightarrow X'CX\] is null matrix.You need to login to perform this action.
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