If , then A.(AdjA) =

Engineering

Mathematics

Introduction to Determinants

Question

If $A = [\begin{array}{ccc} 2 & - 1 & 3 \\ - 5 & 3 & 1 \\ - 3 & 2 & 3 \end{array}]$ , then A.(AdjA) =

(Adj.A^T)

(Adj.A).A

|A|.A.

None of these

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$A^{- 1} = \frac{adjA}{∣ A ∣}$

{AA}^{- 1} = \frac{A (adjA)}{∣ A ∣}

∴ A(AdjA) = |A|I

Also (AdjA)A = A(AdjA) = |A|I

Option B satisfies

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