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Algebra (all content)

Course: Algebra (all content) > Unit 20

Lesson 10: Matrices as transformations
Math
Algebra (all content)
Matrices
Matrices as transformations
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Use matrices to transform 3D and 4D vectors

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Problem

Consider this matrix transformation:
[021−3−12−302−20111−1−1]\left[\begin{array}{c} 0 & 2 & 1 & -3 \\\\ -1 & 2 & -3 & 0 \\\\ 2 & -2 & 0 &1 \\\\ 1 & 1 & -1 & -1 \end{array}\right]
What is the image of [−513−2]\left[\begin{array}{c} -5 \\\\ 1 \\\\ 3 \\\\ -2 \end{array}\right] under this transformation?
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