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1313_section2o5 - Section 2.5 Multiplication of Matrices If...

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Section 2.5 – Multiplication of Matrices 1 Section 2.5 - Multiplication of Matrices If A is a matrix of size n m × and B is a matrix of size p n × then the product AB is defined and is a matrix of size p m × . So, two matrices can be multiplied if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix. How to Multiply Two Matrices The element in the i th row and j th column of AB is found by multiplying each element in the i th row of A by the corresponding element in the j th column of B and adding the products. Example: ( 29 = 0 5 1 6 4 2 = - 1 2 4 1 1 4 5 2 = - - 1 2 1 1 0 2 0 1 2 1 5 2 0 4 1 = - - 1 5 2 0 4 1 1 2 1 1 0 2 0 1 2
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Section 2.5 – Multiplication of Matrices 2 Example 1:
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