Transcription of Math 1313 Section 3.4 Section 3.4: Matrix Multiplication 1 ...
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Math 1313 Section 3.4 Section 3.4: Matrix Multiplication 1 ...
math 1313 Section Section : Matrix Multiplication If A is a Matrix of size m x n and B is a Matrix of size n x p then the product AB is defined and is a Matrix of size m x p. 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 . Example 1: Mult iple the given matrices. []321 is a 1 x 3 Matrix 456 is a 3 x 1 Matrix When multiplied the ending Matrix will be 1 x 1. []321 456 Here is how you multiply: 22211211aaaa 2111bb = + + 2122112121121111babababa Example 2: Mult iply the given matrices. a. 0142 53 b. 224132 681 math 1313 Section Example 3: Mike and Sam have stock as follows: BAC GM IBM TRW A = 0400200100200100300200 Mike is this row one and Sam row two At the close of trading on a certain day, the price $/share (GM, IBM, BAC, respectively) are: B = 82984854 AB = Example 4: Multiply the following matrices if possible.
Math 1313 Section 3.4 . Section 3.4: Matrix Multiplication . If A is a matrix of size m x n and B is a matrix of size n x p then the product AB is defined and is a matrix of size m x p. So, two matrices can be multiplied if and only if the number of columns in the first matrix is equal
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