Question:
The characteristic equation of a matrix A is λ3 - 5λ2 - 3λ + 2I = 0 then |adj A| =
The characteristic equation of a matrix A is λ3 - 5λ2 - 3λ + 2I = 0 then |adj A| =
Updated On: Sep 15, 2024
- 4
- 25
- 9
- 30
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The Correct Option is A
Solution and Explanation
The correct option is (A) : 4.
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Top Questions on Adjoint of a Matrix
- For a square matrix } A_{n \times n}:
(A) \( |\text{adj } A| = |A|^{n-1} \)
(B) \( |A| = |\text{adj } A|^{n-1} \)
(C) \( A (\text{adj } A) = |A| \)
(D) \( |A^{-1}| = \frac{1}{|A|} \)
$\text{Choose the \textbf{correct} answer from the options given below:}$- CUET (UG) - 2024
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