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Ceda EI 2020-05-17 18:52:14 +05:30
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maths/assignment-matrices/assign4.tex
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@ -595,7 +595,7 @@ Doing transformations to form row echelon form, we get
\section*{Question 15}
\subsection*{Part i}
Since $A + A^{-1} = 0$, $A$ must either be skew symmetric. If A is skew symmetric, we know that the rank of an odd order skew symmetric matrix must be even. $\therefore Rank \leq 2020$
Since $A + A^T = 0$, $A$ must either be skew symmetric. If A is skew symmetric, we know that the rank of an odd order skew symmetric matrix must be even. $\therefore Rank \leq 2020$
\subsection*{Part ii}
Inverse does not exist as $A$ is singular matrix.
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