Given that A = [aij] is a square matrix of order 3×3 and |A| = −7,

1.	Given that A = [aij] is a square matrix of order 3×3 and \|A\| = −7, then the value of \(\sum_{i=1}^{3}\)ai2Ai2, where Aij denotes the cofactor of element aij is :(a) 7(b) -7(c) 0(d) 49
Answer» Option : (b) \|A\| = −7 \(\sum_{i=1}^{3}\) a_i2A_i2 = a₁₂A₁₂+ a₂₂A₂₂+ a₃₂A₃₂ = \|A\| = -7

Given that A = [aij] is a square matrix of order 3×3 and |A| = −7, then the value of \(\sum_{i=1}^{3}\)ai2Ai2, where Aij denotes the cofactor of element aij is :(a) 7(b) -7(c) 0(d) 49

Answer»

Option : (b) |A| = −7

\(\sum_{i=1}^{3}\) a_i2A_i2

= a₁₂A₁₂+ a₂₂A₂₂+ a₃₂A₃₂

= |A| = -7

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Given that A = [aij] is a square matrix of order 3×3 and |A| = −7, then the value of \(\sum_{i=1}^{3}\)ai2Ai2, where Aij denotes the cofactor of element aij is :(a) 7(b) -7(c) 0(d) 49

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