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if p is a non singular ma...
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If \( P \) is a non-singular matrix of order \( 5\times5 \) and the sum of the elements of each row is 1, then the sum of the elements of each row in \( P^{-1} \) is:
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Row sums: Vector of ones is eigenvector. Inverse preserves eigenvector.
WBJEE JENPAS UG - 2026
WBJEE JENPAS UG
Updated On:
Mar 2, 2026
\( 0 \)
\( 1 \)
\( \frac{1}{8} \)
\( 8 \)
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The Correct Option is
B
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Let
\[ A = \begin{bmatrix} 5 & 5\alpha & \alpha \\ 0 & \alpha & 5\alpha \\ 0 & 0 & 5 \end{bmatrix} \]
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