First slide

Applications of determinant

Question

$If A = |\begin{array}{ccc} 1 & - 1 & 1 \\ 0 & 2 & - 3 \\ 2 & 1 & 0 \end{array}| and B = (adj A) and C = 5 A, then find the value of |adj B|$

Difficult

Solution

$\begin{array}{l} | adjB | = | adj (adj A) | - {|A^{(3 - 1)^{2}} =| A|}^{4} \\ ∵ | n | = 5 \\ = 125 \end{array}$

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