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Exercise 1

Avg difficulty 3.0

Compute, or state “not defined”.

  • (a)  (31−42)(0500.5)\begin{pmatrix}3&1\\ -4&2\end{pmatrix}\begin{pmatrix}0&5\\ 0&0.5\end{pmatrix}     (b)  (11−1403)(2−1−1311311)\begin{pmatrix}1&1&-1\\ 4&0&3\end{pmatrix}\begin{pmatrix}2&-1&-1\\ 3&1&1\\ 3&1&1\end{pmatrix}     (c)  (2−774)(105−111384)\begin{pmatrix}2&-7\\ 7&4\end{pmatrix}\begin{pmatrix}1&0&5\\ -1&1&1\\ 3&8&4\end{pmatrix}     (d)  (5231)(−123−5)\begin{pmatrix}5&2\\ 3&1\end{pmatrix}\begin{pmatrix}-1&2\\ 3&-5\end{pmatrix}

Hefferon, Linear Algebra, Maps Between Spaces, Matrix Multiplication, Exercise 1

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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.