Welcome to the best online Matrix Multiplication Calculator. This tool, also known as the Multiplying Matrices Calculator, can multiply one matrix by another in three easy steps.

**Here is how the Matrix Multiplication Calculator works**

First, we create the answer matrix (Matrix-c) using the number of rows from Matrix-a and the number of columns from Matrix-b.

Next, to calculate c

_{11}, we multiply each value in the first row in Matrix-a by each value in the first column of Matrix-b, and add them up. Then, to calculate c

_{12}, we multiply each value in the first row in Matrix-a by each value in the second column of Matrix-b and add them up, and so on like this:

c

_{11}= (a

_{11}× b

_{11}) + (a

_{12}× b

_{21}) + ....

c

_{12}= (a

_{11}× b

_{12}) + (a

_{12}× b

_{22}) + ....

etc..

Then, for the next row of Matrix-c, to calculate c

_{21}, we multiply each value in the second row in Matrix-a by each value in the first column of Matrix-b and add them up. Then, to calculate c

_{22}, we multiply each value in the second row in Matrix-a by each value in the second column of Matrix-b and add them up, and so on like this:

c

_{21}= (a

_{21}× b

_{11}) + (a

_{22}× b

_{21}) + ....

c

_{22}= (a

_{21}× b

_{12}) + (a

_{22}× b

_{22}) + ....

etc..

And then we repeat that for each row as needed. That's all there is to it folks!

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