How to Multiply Two Matrices Together (Linear Algebra Matrix Math)

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In this video we will be multiplying matrix A by matrix B.
The things you need to know to complete this problem is that order maters matrix A times matrix B does not equal matrix B times matrix A
You can only multiply matrices if the number of columns in matrix A matches the number of rows in matrix B
And finally the number of rows in matrix A equals the number of rows in the resulting matrix and the number of columns in matrix B equals the number of columns in the resulting matrix.
Now the way multiplication works is we take the numbers in the first row of matrix A and multiply them by the numbers in the first column of matrix B. So we take the first number in row 1 of matrix A and multiply it times the first number in column of matrix B we then add the second number in row 1 of matrix A times the second number in column 1 of matrix B. This will give us our first value in the resulting matrix.
We then remain at the same row in matric A and move over one column on matrix B and complete the same process for our value in the resulting matrix row one column 2.
To complete the row in our resulting matrix we do the same process with row 1 of matrix A and column 3 of matrix B
Now we move onto the next row of matrix A and complete the same process starting at the first column of matric B working our way across to the third column
Below is the completed resulting matrix notice that the row in matrix A dictates the row in the resulting matrix and the column in matric B dictates the column in the resulting matrix.
After doing completing the calculations we get the below matrix for our final answer.
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Disclaimer
These videos are intended for educational purposes only (students trying to pass a class) If you design or build something based off of these videos you do so at your own risk. I am not a professional engineer and this should not be considered engineering advice. Consult an engineer if you feel you may put someone at risk.