imo class 12 matrices

Two non-zero matrices A and B commute if:

VAVidaara Admin Asked 6d ago 0 views 0 answers
#IMO#Class 12#Mathematics#Matrices#logical-reasoning

Two non-zero matrices A and B commute if:

  • A. A + B = B + A
  • B. AB = BA
  • C. AB = −BA
  • D. A' = B'

Answer: B) AB = BA

Explanation: In matrix algebra, two matrices are said to commute multiplicatively if the order of multiplication does not change the result, i.e., AB = BA.

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