If , then adj. A is equal to

Engineering

Mathematics

Transpose and Adjoint of a Matrix

Question

If $A = [\begin{array}{cc} 3 & - 5 \\ - 1 & 0 \end{array}]$ , then adj. A is equal to

$[\begin{array}{cc} 0 & - 1 \\ - 5 & 3 \end{array}]$

$[\begin{array}{cc} 0 & 5 \\ 1 & 3 \end{array}]$

$[\begin{array}{cc} 0 & - 5 \\ - 1 & 3 \end{array}]$

$[\begin{array}{cc} 3 & 5 \\ 1 & 0 \end{array}]$

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co-factor of A₁₁ = 0 ; co-factor of A₁₂ = 5 ; co-factor of A₂₁ = 1 ; co-factor of A₂₂ = 3
$adjA = [\begin{array}{cc} 0 & 5 \\ 1 & 3 \end{array}]$
Ans: C