AB: (2×3)(3×2)=2×2, defined. BA: (3×2)(2×3)=3×3, defined. Both are defined but have different orders, so they cannot be equal.
If matrix A is of order 2×3 and B of order 3×2, then
Held on 25 May 2023 · Verified 13 Jul 2026.
AB, BA both are defined and are equal
AB is defined but BA is not defined
AB is not defined but BA is defined
AB, BA are defined but are not equal
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