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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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Let $A$ be a $3 \times 3$ matrix such that $A^{2} - 5A + 7I = 0$.
\textbf{Statement I:}
$A^{-1} = \dfrac{1}{7}(5I - A)$.
\textbf{Statement II:}
The polynomial $A^{3} - 2A^{2} - 3A + I$ can be reduced to $5(A - 4I)$.
Then:
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