AP EAMCET · Maths · Matrices
If \(A=\left[\begin{array}{ll}x & 0 \\ 1 & 1\end{array}\right]\) and \(B=\left[\begin{array}{ll}8 & 0 \\ 7 & 1\end{array}\right]\) and \(A^3=B\), then \(x=\)
- A -2 or 3
- B \(-2\)
- C 2 or -3
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
\(\mathrm{A} \cdot \mathrm{A}=\mathrm{A}^2=\left[\begin{array}{ll}x & 0 \\ 1 & 1\end{array}\right]\left[\begin{array}{ll}x & 0 \\ 1 & 1\end{array}\right]\) \(=\left[\begin{array}{cc}x^2 & 0 \\ x+1 & 1\end{array}\right]\)…
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