AP EAMCET · Maths · Matrices
If \(A\) is a matrix \(\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right]\), then \(A^n=\left[\begin{array}{ll}1 & 0 \\ n & 1\end{array}\right]\), \(\forall n \in N\)
- A Not true for n = 3
- B Not true for n = 2
- C True for n = 3
- D Not true for n = 1
Answer & Solution
Correct Answer
(C) True for n = 3
Step-by-step Solution
Detailed explanation
Given, If \(A=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right]\), then \(A^n=\left[\begin{array}{ll}1 & 0 \\ n & 1\end{array}\right], \forall n \in N\) We will generalise the exponent of \(A\). Let \(n=2\)…
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