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Exercise 4.7.3

Avg difficulty 3.0

Which of the following matrices are symmetric, antisymmetric, both, or neither?

A=[01−10],B=[2113],C=[12−20],D=[0000].A=\left[\begin{array}{rr}0&1\\ -1&0\\ \end{array}\right],\quad B=\left[\begin{array}{rr}2&1\\ 1&3\\ \end{array}\right],\quad C=\left[\begin{array}{rr}1&2\\ -2&0\\ \end{array}\right],\quad D=\left[\begin{array}{rr}0&0\\ 0&0\\ \end{array}\right].

Selinger, Matrix Theory and Linear Algebra, Matrices, The transpose, Exercise 4.7.3

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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.