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Exercise 3

Avg difficulty 2.5

If A=(21−i2−i2)andB=(4i1−i1+3i−2−i),A = \begin{pmatrix} 2 & 1 - i \\ 2 - i & 2 \end{pmatrix} \quad \text{and} \quad B = \begin{pmatrix} 4i & 1 - i \\ 1 + 3i & -2 -i \end{pmatrix}, find each of the following.

  1. A+BA + B

  2. 3A−2B3A - 2B

  3. ABAB

  4. BABA

Judson, The ODE Project, §3.1 Linear Algebra in a Nutshell, Exercise 3

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Adapted from The ODE Project © 2019–2025 Thomas W. Judson. Licensed under CC BY 4.0. Source: The ODE Project. Imported at revision 7935458.