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Invertible Matrix
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Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
engineeringmathematics
linearalgebra
matrices
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Aug 8, 2018
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Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{1}$.
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