System of Equations: Introduction to Matrix Algebra: Autar Kaw

INTRODUCTION TO MATRIX ALGEBRA Transforming Matrix Algebra for the STEM Undergraduate

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SYSTEM OF EQUATIONS CHAPTER 05
PRE-REQUISITES & OBJECTIVES
	Pre-Requisites for System of Equations [PDF] [DOC] Objectives of System of Equations [PDF] [DOC]
TEXTBOOK CHAPTER
	Textbook Chapter on System of Equations [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
	A real life problem of setting up simultaneous linear equations [YOUTUBE 5:23] [TRANSCRIPT] Writing simultaneous linear equations in matrix form [YOUTUBE 5:25] [TRANSCRIPT] Consistent and inconsistent system of equations Theory [YOUTUBE 2:56] [TRANSCRIPT] Consistent and inconsistent system of equations Example [YOUTUBE 5:31] [TRANSCRIPT] Rank of a matrix Definition [YOUTUBE 1:21] [TRANSCRIPT] Rank of a matrix Example 1 [YOUTUBE 1:31] [TRANSCRIPT] Rank of a matrix Example 2 [YOUTUBE 2:50] [TRANSCRIPT] Distinguishing between consistent and inconsistent system of equations based on rank of matrices [YOUTUBE 3:06] [TRANSCRIPT] Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 1 [YOUTUBE 4:15] [TRANSCRIPT] Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 2 [YOUTUBE 8:42] [TRANSCRIPT] Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 3 [YOUTUBE 6:07] [TRANSCRIPT] If a solution exists, how do we know if it is unique? [YOUTUBE 3:25] [TRANSCRIPT] Does a set of equations have a unique solution? Example 1 [YOUTUBE 2:18] [TRANSCRIPT] Does a set of equations have a unique solution? Example 2 [YOUTUBE 2:23] [TRANSCRIPT] If we have more equations than unknowns, does it mean we have inconsistent system of equations? [YOUTUBE 8:11] [TRANSCRIPT] Can a system of equations have more then one but not infinite number of solutions? [YOUTUBE 4:57] [TRANSCRIPT] Can we divide two matrices? [YOUTUBE 5:39] [TRANSCRIPT] Some statements about the inverse of matrices [YOUTUBE 2:53] [TRANSCRIPT] Inverse of matrices Example [YOUTUBE 3:40] [TRANSCRIPT] Using concept of inverse to solve a set of equations [YOUTUBE 2:27] [TRANSCRIPT] Finding the inverse of a matrix Theory [YOUTUBE 4:32] [TRANSCRIPT] Finding the inverse of a matrix Example [YOUTUBE 7:03] [TRANSCRIPT] Finding the inverse of a matrix by adjoints Theory [YOUTUBE 2:15] [TRANSCRIPT] Finding the inverse of a matrix by adjoints Example [YOUTUBE 7:19] [TRANSCRIPT] If the inverse of [A] exists, is it unique? [YOUTUBE 2:30] [TRANSCRIPT]
MULTIPLE CHOICE TEST
	Test Your Knowledge of System of Equations [FLASH] [PDF] [DOC] [SOLUTION]
PROBLEM SET
	Problem set for System of Equations [PDF] [DOC]
PRESENTATIONS
	PowerPoint Presentation of System of Equations [PDF] [PPT]
RELATED TOPICS
	Introduction Vectors Binary Operations Unary Operations System of Equations Gaussian Elimination Gauss-Seidel Method LU Decomposition Adequacy of Solutions Eigenvalues and Eigenvectors