If the order of A is 4 × 3, the order of B is 4 × 5 and the order of C, 7 × 3 then the order of (ATBT)TCT is

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

If the order of A is 4 × 3, the order of B is 4 × 5 and the order of C, 7 × 3 then the order of (A^TB^T)^TC^T is

4 × 5

3 × 7

4 × 3

5 × 7

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Order of A = 4 × 3

∴ Order of A^T = 3 × 4

Order of B = 4 × 5

∴ Order of B^T = 5 × 4

Order of C = 7 × 3

∴ Order of C^T = 3 × 7

Order of (A^TB^T) = 4 × 5

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