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Definition and equality

Matching matrix dimensions and entries — solving for scalars that make two matrices equal, reading off the (2,3)-entry, and comparing row with column vectors.

Matrix Theory and Linear Algebra, Definition and equality

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4 exercises

Exercise 4.1.1

Can a column vector ever be equal to a row vector?

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Exercise 4.1.2

Find scalars $x,y,z$ such that the following two matrices are equal.

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Exercise 4.1.3

What are the dimensions of the following matrices?

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Exercise 4.1.4

What is the $(2,3)$ -entry of the matrix $\left[\begin{array}{rrr}1&2&1\\ -4&4&7\\ 6&-5&3\end{array}\right]$ ?

3.0

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.