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Exercise 4.4.3

Avg difficulty 3.0

Compute the following by columns and by rows. Convince yourself that both method give the same result.

[a11a12a13a21a22a23a31a32a33][x1x2x3].\left[\begin{array}{cccc}a_{11}&a_{12}&a_{13}\\ a_{21}&a_{22}&a_{23}\\ a_{31}&a_{32}&a_{33}\\ \end{array}\right]\left[\begin{array}{c}x_{1}\\ x_{2}\\ x_{3}\end{array}\right].

Selinger, Matrix Theory and Linear Algebra, Matrices, Matrix multiplication, Exercise 4.4.3

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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.