Construct any two non-zero matrices and such that

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Construct any two non-zero 2×22\times2 matrices AA and BB such that AB≠BAAB\ne BA. Write both ABAB and BABA to verify your claim.

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