Let A be a positive diagonal 3 × 3 matrix. If adj ( A ) has characteristic equation λ 3 − 12 λ 2 + kλ − 64 = 0 , which is correct?

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Let $A$ be a positive diagonal $3 \times 3$ matrix. If $adj (A)$ has characteristic equation $λ^{3} - 12 λ^{2} + kλ - 64 = 0$ , which is correct?

Answer:

Solution:

From Q18, $A = 2 I_{3}$ . Hence $tr (5 A) = 30$ .

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Special matrix

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