If the order of a matrix A is 2 × 3, the order of matrix B is 3 × 4 and the order of matrix C is 3 × 4, then the order of the matrix (A.B).CT is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2 × 3
A product of an m × n matrix and an n × p matrix is an m × p matrix.
\(\mathrm{A}.\mathrm{B}\): \((2 \times 3)(3 \times 4)\) gives \(2 \times 4\)
The transpose swaps rows and columns:
\(\mathrm{C}^{T}\): \(4 \times 3\)
Then
\((\mathrm{A}.\mathrm{B}).\mathrm{C}^{T}\): \((2 \times 4)(4 \times 3)\) gives \(2 \times 3\)