GATE | CS | 2008 | Engineering Mathematics | Linear Algebra | Question 28

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How many of the following matrices have an eigenvalue 1?

[Tex]\left[\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right],\left[\begin{array}{ll}0 & 1 \\ 0 & 0 \end{array}\right],\left[\begin{array}{cc}1 & -1 \\1 & 1 \end{array}\right][/Tex] and [Tex]\left[\begin{array}{cc} -1 & 0 \\1 & -1 \end{array}\right][/Tex]

Four

Three

Two

One

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