Kunze Linear Algebra · Problem 1.5.2

Systems of Linear Equations

Mathematics — Methods · matrix-multiplication-associativity

Problem

Let A=[1−11201301],B=[2−21344].A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 0 & 1 \\ 3 & 0 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 2 & -2 \\ 1 & 3 \\ 4 & 4 \end{bmatrix}. Verify directly that A(AB)=A2BA(AB) = A^2B.

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