TS EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\) and \(I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\), then for all \(n \in N\)
- A \(A^n=n A\)
- B \(\left.A^n=n A+(n-1)\right)\)
- C \(A^n=(n-1) A-n d\)
- D \(A^n=n A-(n-1) t\)
Answer & Solution
Correct Answer
(D) \(A^n=n A-(n-1) t\)
Step-by-step Solution
Detailed explanation
We have, \[ A=\left[\begin{array}{ll} 1 & 1 \\ 0 & 1 \end{array}\right] \text { and } Y=\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right] \] Now,…
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