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\[\left[\begin{matrix}a & a-1&a-2 \\ 0 & a-3&a-4 \\ 0&0&a-5\end{matrix}\right]\]

the determinant is \(a(a-3)(a-5)\) so maybe no solution if \(a=0,a=3,a=5\)

The key says a=0 and a=3 so that seems to be right

whew

yw