Exercise 4.3.2

Avg difficulty 3.0

Find scalars $x,y,z,w$ such that

x\left[\begin{array}{rr}1&2\\ 3&5\end{array}\right]~{}+~{}y\left[\begin{array}{rr}0&1\\ 1&1\end{array}\right]~{}+~{}z\left[\begin{array}{rr}0&2\\ -1&2\end{array}\right]~{}+~{}w\left[\begin{array}{rr}1&0\\ 0&2\end{array}\right]~{}=~{}\left[\begin{array}{rr}1&2\\ 6&5\end{array}\right].

Selinger, Matrix Theory and Linear Algebra, Matrices, Scalar multiplication, Exercise 4.3.2

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.