Solution Found!
Show that if A is a 2 × 2 matrix such that AB = BA
Chapter 2, Problem 39E(choose chapter or problem)
QUESTION:
Show that if A is a 2 × 2 matrix such that AB = BA whenever B is a 2 × 2 matrix, then A = cI. where c is a real number and I is the 2 × 2 identity matrix.
Questions & Answers
QUESTION:
Show that if A is a 2 × 2 matrix such that AB = BA whenever B is a 2 × 2 matrix, then A = cI. where c is a real number and I is the 2 × 2 identity matrix.
ANSWER:SOLUTIONStep 1In this problem, we are asked to show that the matrix whenever AB=BA.