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MATH / Let D be a matrix representing a dilation with scale factor k>0, and let R be a matrix representing a rotation about the origin by an angle of θ counter-clockwise. If …

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problem

Let D\mathbf{D} be a matrix representing a dilation with scale factor k>0,k > 0, and let R\mathbf{R} be a matrix representing a rotation about the origin by an angle of θ\theta counter-clockwise. If \[\mathbf{D} \mathbf{R} = \begin{pmatrix} -7 & 1 \\ -1 & -7 \end{pmatrix},\]then find k.k.
Plain-text mathematical notation (without MathML)
Let D be a matrix representing a dilation with scale factor k>0, and let R be a matrix representing a rotation about the origin by an angle of θ counter-clockwise.  If
\[\mathbf{D} \mathbf{R} = \begin{pmatrix} -7 & 1 \\ -1 & -7 \end{pmatrix},\]then find k.
Original LaTeX notation
Let $\mathbf{D}$ be a matrix representing a dilation with scale factor $k > 0,$ and let $\mathbf{R}$ be a matrix representing a rotation about the origin by an angle of $\theta$ counter-clockwise.  If
\[\mathbf{D} \mathbf{R} = \begin{pmatrix} -7 & 1 \\ -1 & -7 \end{pmatrix},\]then find $k.$

level

Level 4

type

Precalculus

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Source and history

task_id
f001020e-9b7b-56f7-8157-dcd5f386ce8d
task_key
precalculus--test--f001020e-9b7b-56f7-8157-dcd5f386ce8d
task_revision_id
1
config / split
precalculus / test

Official source

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