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TS EAMCET · Maths · Matrices

If \(\mathrm{A}=\left[\begin{array}{lll}x & y & y \\ y & x & y \\ y & y & x\end{array}\right]\) is a matrix such that \(5 A^{-1}=\left[\begin{array}{ccc}-3 & 2 & 2 \\ 2 & -3 & 2 \\ 2 & 2 & -3\end{array}\right]\) then \(A^2-4 A=\)

  1. A \(5 \mathrm{~A}^{-1}\)
  2. B 5 I
  3. C 0
  4. D I
Verified Solution

Answer & Solution

Correct Answer

(B) 5 I

Step-by-step Solution

Detailed explanation

Given that \(5 A^{-1}=\left[\begin{array}{ccc}-3 & 2 & 2 \\ 2 & -3 & 2 \\ 2 & 2 & -3\end{array}\right]\) Post multiply by \(A\) on both sides…