Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
Then the number of 3x3matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is
Text Solution
Verified by ExpertsThe correct answer is:
3125
(3125)
Let matrix Matrix 
∵ AB = BA
⇒ d = b, e = a, f = c, g = h
∴ Matrix 
No. of ways of selecting a, b, c, g, i
= 5 × 5 × 5 × 5 × 5
= 5 5 = 3125
∴ No. of Matrices B = 3125
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