Finite Chapter 3.1

Finite Chapter 3.1 - Scalar Multiplication Scalar individual number Multiply every entry in matrix by the scalar Properties of Matrix Addition&

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Math 120 SP08 SBrodnick 1 1 Chapter 3 : Matrix Algebra 3.1 : Matrix Addition & Scalar Multiplication 2 * Stuff about matrices… * An m x n matrix has m rows and n columns (m and n: dimensions of matrix) * Use capital letter to name a matrix * a 32 : entry in row 3 , column 2 of matrix A * Two matrices are equal if they have same dimensions and corresponding entries * Matrix with single row - row vector * Matrix with single column - column vector * Square matrix: same # of rows and columns 3 * * Can add or subtract matrices only if they have same dimensions * Add or subtract corresponding entries
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Unformatted text preview: * Scalar Multiplication * Scalar: individual number * Multiply every entry in matrix by the scalar * Properties of Matrix Addition & Scalar Multiplication : (P. 179) 3.1: Matrix Addition & Scalar Multiplication 4 * Transposition * If A is m x n matrix then its transpose is n x m matrix A T , found by writing rows as columns 1 st row becomes 1 st column, 2 nd row becomes 2 nd column, etc. * Properties of Transposition : 1. (A + B) T = A T + B T 2. (cA) T = c(A T ) 3. (A T ) T = A 3.1: Matrix Addition & Scalar Multiplication...
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This note was uploaded on 04/07/2008 for the course MAT 120 taught by Professor Brodnick during the Spring '08 term at Illinois State.

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