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Exercise 3

Avg difficulty 3.0

Perform, if possible, each matrix-vector multiplication.

  • (a)  (213−1/2)(42)\begin{pmatrix}2&1\\ 3&-1/2\end{pmatrix}\begin{pmatrix}4\\ 2\end{pmatrix}     (b)  (110−210)(131)\begin{pmatrix}1&1&0\\ -2&1&0\end{pmatrix}\begin{pmatrix}1\\ 3\\ 1\end{pmatrix}     (c)  (11−21)(131)\begin{pmatrix}1&1\\ -2&1\end{pmatrix}\begin{pmatrix}1\\ 3\\ 1\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Representing Linear Maps with Matrices, Exercise 3

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.