Daily Archives: March 25, 2022

2022-04 Cosine matrix

Prove or disprove the following: There exists a real \( 2 \times 2 \) matrix \( M \) such that
\[
\cos M =
\begin{pmatrix}
1 & 2022 \\
0 & 1
\end{pmatrix}.
\]

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