Class 12 Matrices · Mcq Single Correct1 Marksmatrix_dimensions
Class 12 Maths · Matrices · Mcq Single Correct #9
Let A,B,C have orders 2×3, 3×2, 3×3 respectively. Which expression is undefined?
(A) C(A+Bᵀ)
(B) C(A+Bᵀ)ᵀ
(C) BAC
(D) CB+Aᵀ
✅ Step-by-Step Solution
Final Answer: Option (A): C(A+Bᵀ)
A+Bᵀ has order 2×3, so multiplying it on the left by 3×3 C is impossible (inner sizes 3 and 2 differ). The other expressions have matching inner dimensions.
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