Math1313-Section2.5-F10-filledB

# Math1313-Section2.5-F10-filledB - Section 2.5...

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Section 2.5 – Multiplication of Matrices 1 Section 2.5 Multiplication of Matrices 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. 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 1: Your stock holdings are given by the row matrix (or vector) GM IBM BAC () 200 400 700 = A At the close of trading on a certain day, the prices (in dollars per share) of these stocks (GM, IBM, BAC, respectively) are = 42 120 50 B What is the total value of your holdings as of that day? Example 2:

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## This note was uploaded on 02/15/2011 for the course MATH 1313 taught by Professor Constante during the Fall '08 term at University of Houston.

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Math1313-Section2.5-F10-filledB - Section 2.5...

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