TS EAMCET · Maths · Matrices
Let \(B, C\) be \(n \times n\) matrices such that \(A=B+C, B C=C B\) and \(C^2\) is a null matrix. Then, \(B^{2020}[B+(2021) C]=\)
- A \(A^{2020}\)
- B null zero matrix of order \(n \times n\)
- C \(A^{2021}\)
- D \(B^{2021}\)
Answer & Solution
Correct Answer
(C) \(A^{2021}\)
Step-by-step Solution
Detailed explanation
Given that, \(A=B+C\) \(B C=C B\) and \(C^2=0\) From Eq. (i)…
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