How do you multiply #(4, 5)(3, 4)# by #(3, 0)(0, 3)#?
Find the first row of the product
Take the first row of
It looks like:
Now multiply times the first column and add to get the first number in the first row of the answer:
Next multiply times the second column and add to get the second number in the first row of the answer:
The first row of the product is:
A this point we know that the product looks like:
Find the second row of the product
Find the second row of the product by the same process using the second row of
The second row of the product is:
Write the answer
The second matrix is just a scalar multiple (
Jim's explanation is really helpful if you are multiplying any two square matrices, but in this particular example there's a short cut.