Class 12 Matrices · Mcq Single Correct1 Marksmatrix_powers
Class 12 Maths · Matrices · Mcq Single Correct #20
For A=\(\begin{bmatrix}1 & -1 & 1\\1 & -1 & 1\\1 & -1 & 1\end{bmatrix}\), find A⁵−A⁴−A³+A².
✅ Step-by-Step Solution
Final Answer: Option (D): O
- Each entry of A² reproduces the entry of A because 1−1+1=1. Thus A²=A and all positive powers are A. The expression is A−A−A+A=O.
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