TS EAMCET · Maths · Matrices
If \(A\) is a \(2 \times 2\) matrix such that \(\operatorname{det} A=-21\) and trace of \(\mathrm{A}^3\) is 2024 , then the trace of A is
- A 6
- B 11
- C 12
- D 13
Answer & Solution
Correct Answer
(B) 11
Step-by-step Solution
Detailed explanation
Let eigen values of matrices \(\mathrm{A}\) are \(\lambda_1, \lambda_1 \Rightarrow \lambda_1, \lambda_2=-21\) \(\Rightarrow\) Eigen values of matrices \(\mathrm{A}^3\) are \(\lambda_1{ }^3, \lambda_2{ }^3\) Now…
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