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Lesson 3b - Matrix and Vector Notation.pdf

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Department
Mathematics
Course
MATH 1107
Professor
All Professors
Semester
Fall

Description
06/09/2013 Vector Notation In math, a vector is a tool that we use to store data: In physics, a vector stores a magnitude and direction: 20km/h   N30 E  In math, we use vector notation simply to store quantities that fit well together: Sales Square brackets means it’s a vector 1 Qtr 20000  1st Qtr 2ndQtr 50000  2nd Qtr rd   3rd Qtr 3 Qtr 10000  4th Qtr 4 Qtr   30000  Matrix Notation A matrix is also a storing device, but it has multiple columns. In this case, each row represents one type of data, and each column represents another type of data. Coefficients Constant term Ex: If we have a linear system: x1 x2 x3 x1−2x +2x = 63 E1  1 -2 3 6    2x 1 x 2 x =37 Equations E2 2 1 1 7 − x1+ x2− x 3 −2   E3 −1 1 -1 -2  = So why is this useful? Less writing!!! 1 06/09/2013 Matrix Notation Continued They don’t have to store equations! Say we had the following data: Life Expectancy of Average Canadian: Year Male Female 1972 69 76 1982 72 79 1992 75 81 2002 77 82 We could use the following matrix to represent the data: M F Years 1972 69 76  1982   72 79  1992 75 81    2002 77 82  More Notation We say a matrix
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