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GATE Electrical 2021 | Question: 38
Arjun
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Linear Algebra
Feb 20, 2021
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Apr 11, 2021
by
Lakshman Patel RJIT
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Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.
gateee-2021
numerical-answers
linear-algebra
matrices
determinant
Arjun
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Linear Algebra
Feb 20, 2021
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Lakshman Patel RJIT
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Arjun
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ans 1
A is null matrix
then A^5=A
A+I=I
where is I identity matrix
determinant of (A+I)=determinant(I)
determinant of I=1(ans)
shreekant98
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Mar 17, 2021
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shreekant98
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