If C_{i j} denotes the cofactor of element P

CBSE Class 12 Math 2022 Term I Solved Paper

Question : 13

Total: 50

If Cij denotes the cofactor of element Pij of the matrix P=[

], then the value of C31⋅C23 is

Solution: 👈: Video Solution

Explanation:
Here,
C31=(−1)3+1|

−1	2
2	−3

|=3−4=−1
C23=(−1)2+3|

1	−1
3	2

|=−(2+3)=−5
and
C23=(−1)2+3|

1	−1
3	2

|=−(2+3)=−5
Thus, ‌‌C31⋅C23=(−1)(−5)=5

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