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Question

Can you multiply a 3x2 and 2x2 matrix?


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Solution

Multiplication of matrix :

Let a matrix of order m×n and another matrix n×q then matrix can be multiply means number of column in first matrix is equal to the number of rows in second matrix then we can multiply the matrix.

Here we have to multiply 3×2 matrix and 2×2 matrix, which is possible and the resultant matrix will be 3×2.

Let us understand with the help of an example.

Let A=0736-20 and B=3-4012

then, AB=0×3+0×7-4×0+7×123×3+6×0-4×3+6×12-2×3+(-2)×0(-2)×(-4)+12×0
=084960-68

Hence, In this way we can multiply the matrix.


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