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GO Classes CS/DA 2025 | Weekly Quiz 4 | Linear Algebra | Question: 13

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17 votes
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Given the following matrix:
$$
A=\left[\begin{array}{lll}
1 & 2 & 2 \\
2 & 1 & 2 \\
2 & 2 & 1
\end{array}\right]
$$
Consider the following statements:

  1. $A^2-4 A-5 I=0$ (where $I$ is identity matrix).
  2. $A^{-1}=\frac{(A-4 I)}{5}$.

Which of the following options is correct?

  1. Only $I$ is true.
  2. Only II is true.
  3. Both I and II are true.
  4. Neither I, nor II are true.
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2 Answers

9 votes
9 votes

 

option d correct one .

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