Systems of Linear Equations and Matrices2

Systems of Linear Equations and Matrices2 - Chapter1 Cha...

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Chapter1 Systems of Linear Equations and atrices I Matrices I
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Learning Objectives Upon completing this Module, you should be able to: y Represent a system of linear equations as an py q augmented matrix. y Identify whether the matrix is in row-echelon form, duced row- helon form, both, or neither. reduced row echelon form, both, or neither. y Solve systems of linear equations by using the Gaussian elimination and Gauss-Jordan elimination ethods. methods. y Perform matrix operations of addition, subtraction, multiplication, and multiplication by a scalar. y Find the transpose and the trace of a matrix.
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Systems of Linear Equations d Matrices and Matrices There are three major topics in this Module: y Introduction to Systems of Linear Equations y Gaussian Elimination y Matrices and Matrix Operations
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atrix Notation and Terminology Matrix Notation and Terminology A matrix is a rectangular array of numbers. • The numbers in the array are called the Here is an The numbers in the array are called the entries in the matrix. • The size of the matrix is described in terms of the number of rows and the example of size 2 X 3 matrix, a matrix with two ws and three number of columns. • The entry that occurs in row i and column j of a matrix A will be denoted by a ij . • An example of a 3 x 3 matrix will have the following rows and three coulmns pg entries: = A =
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Matrix Notation and Terminology (Cont.) A matrix
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Systems of Linear Equations and Matrices2 - Chapter1 Cha...

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