A First Course in Linear Algebra · Problem MINM.C20

Matrices — Robert Beezer

Mathematics — Linear Algebra · nonsingular-product

Problem

Let A=[121011102]A = \begin{bmatrix} 1 & 2 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 2 \end{bmatrix} and B=[−110121011]B = \begin{bmatrix} -1 & 1 & 0 \\ 1 & 2 & 1 \\ 0 & 1 & 1 \end{bmatrix}. Verify that ABAB is nonsingular.

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