Find all possible values of a₁₁A₁₁ + a₁₂A₁₂ + a₁₃A₁₃ and If |adj A | = 8 , where A is a matrix of order 3 x3 , aij is element and Aij is cofactor of matrix
a 2√2
b 16
c 8
d 64
e None of these
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Step-by-step explanation:
Given a square matrix, the cofactor of aij is denoted by Aij=(−1)i+jMij, where Mij is the minor of the entry aij
Mij=∣∣∣∣∣∣2654∣∣∣∣∣∣
From the matrix, a32=5
Determinant of A32=(−1)3+2∣∣∣∣∣∣2654∣∣∣∣∣∣=−(−8−30)=22
Therefore, a32.A32=5×22=110.
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