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Q)

# True or False: If the value of a third order determinant is 12,then the value of the determinant formed by replacing each element by its co-factor will be 144.

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A)
• $|adj (A)|=|A|^{n-1}$
$|adj (A)|=|A|^{n-1}$
Therefore $|adj (A)|=|A|^2$
$|adj (A)|=12^2=144$