Matrices
RS Aggarwal
CBSE
Grade 12
Question:
If $A = \begin{bmatrix} 1 & 2 & 0 \\ 0 & 1 & 1 \\ 2 & 0 & 1 \end{bmatrix}$, show that $A^3 - 3A^2 + I = O$. Hence find $A^{-1}$.
Step-by-Step Solution
Key Concept: A^3 - 3A^2 + I = O => A^{-1} = 3A - A^2.
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Correct Answer:
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