Muliplying Matrices

Here Jordan Bayne explains the concept of dimension statement. I can really see he knows what is going on! Really nice!!!

Muliplying Matrices: "Before you can begin to multiply matrices you need determine whether or not the matrices can be multiplied. To do that you must write a dimension statement.

[3 4] [1 2 3]
[5 6] [4 5 6]
[7 8]
The dimension statement for this would be 3X2 times 2X3.

• The numbers on the inside (in red) must be the same to carryout the multiplication process
• The numbers on the outside (in blue) tell what the dimension of the solution will be. In this particular problem, the solution will be a 3 X 3 matrix.

If the two matrices can be multiplied, you then multiply row X column and add the sum of the products to get the solution to the problem.

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