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MATH / Find a matrix of the form mathbf{M} = begin{pmatrix} a & b 0 & d end{pmatrix} such that mathbf{M}^3 = begin{pmatrix} 8 & -57 0 & 27 end{pmatrix}.

Problem

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problem

Find a matrix of the form $\mathbf{M} = \begin{pmatrix} a & b \\ 0 & d \end{pmatrix}$ such that \[\mathbf{M}^3 = \begin{pmatrix} 8 & -57 \\ 0 & 27 \end{pmatrix}.\]
Plain-text mathematical notation (without MathML)
Find a matrix of the form $\mathbf{M} = \begin{pmatrix} a & b \\ 0 & d \end{pmatrix}$ such that
\[\mathbf{M}^3 = \begin{pmatrix} 8 & -57 \\ 0 & 27 \end{pmatrix}.\]
Original LaTeX notation
Find a matrix of the form $\mathbf{M} = \begin{pmatrix} a & b \\ 0 & d \end{pmatrix}$ such that
\[\mathbf{M}^3 = \begin{pmatrix} 8 & -57 \\ 0 & 27 \end{pmatrix}.\]

level

Level 3

type

Precalculus

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Source and history

task_id
46cd6b6b-5e0c-513e-8de0-1d7b0bd44a75
task_key
precalculus--test--46cd6b6b-5e0c-513e-8de0-1d7b0bd44a75
task_revision_id
1
config / split
precalculus / test

Official source

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