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Question

# Find the output order for the following matrix multiplication A4×2×B2×4?

A
2×4
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B
4×4
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C
4×2
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D
Multiplication not possible
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Solution

## The correct option is B 4×4Note: 1. m×n is the order of matrix AB if the order of matrix A is m×p and the order of B is p×n.2. For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix.Here A,B are conformant matrices, Multiplication is possible.Therefore, A is of size 4×2, and B is of size 2×4, in which case the output is of size 4×4 and is the matrix product of A and B.

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