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Finding an Upper Triangular Matrix from its Cube

Matrix operations warmup

Find an upper triangular matrix \( A \) such that \( A^3 = \begin{pmatrix} 8 & -57 \\ 0 & 27 \end{pmatrix} \).
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What this problem tests

Tests the ability to perform symbolic matrix multiplication and solve the resulting system of linear equations.

This is a standard introductory linear algebra problem testing basic matrix multiplication and properties of triangular matrices.

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