Deduce whether the matrices A and B commute or not. A= (2 1 0 1) B= (1 1 0 1) · ABC26PH0775

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Quantum Chemistry – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

Deduce whether the matrices A and B commute or not.

\[ \mathrm{A}=\left(\begin{array}{ll} 2 & 1 \\ 0 & 1 \end{array}\right) \quad \mathrm{B}=\left(\begin{array}{ll} 1 & 1 \\ 0 & 1 \end{array}\right) \]

Answer

SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation

Answer: They do not commute — AB = [[2,3],[0,1]] while BA = [[2,2],[0,1]]; AB ≠ BA.

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