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Recent questions tagged userisi2004

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ISI-2004-30
Let $A$ be the matrix $\begin{pmatrix} x&0 &3 \\ -3&y &y \\ 0&0 &1 \end{pmatrix}$. If the determinant of $A^n$ is equal to the determinant of $A$ for all $n \geq 2$, then...
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ISI-2004-23
If $f(x) = x^2$ and $g(x)=x \sin x + \cos x$ then$f$ and $g$ agree at no points.$f$ and $g$ agree at exactly one point.$f$ and $g$ agree at exactly two points.$f$ and $g$...
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