Chapter 05 – System of Equations

Prerequisites & Objectives
      • Prerequisites 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]
      • Writing simultaneous linear equations in matrix form [YOUTUBE 5:25]
      • Consistent and inconsistent system of equations Theory [YOUTUBE 2:56]
      • Consistent and inconsistent system of equations Example [YOUTUBE 5:31]
      • Rank of a matrix Definition [YOUTUBE 1:21]
      • Rank of a matrix Example 1 [YOUTUBE 1:31]
      • Rank of a matrix Example 2 [YOUTUBE 2:50]
      • Distinguishing between consistent and inconsistent system of equations based on rank of matrices [YOUTUBE 3:06]
      • Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 1 [YOUTUBE 4:15]
      • Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 2 [YOUTUBE 8:42]
      • Distinguishing between consistent and inconsistent system of equations based on rank of matrices Example 3 [YOUTUBE 6:07]
      • If a solution exists, how do we know if it is unique? [YOUTUBE 3:25]
      • Does a set of equations have a unique solution? Example 1 [YOUTUBE 2:18]
      • Does a set of equations have a unique solution? Example 2 [YOUTUBE 2:23]
      • If we have more equations than unknowns, does it mean we have inconsistent system of equations? [YOUTUBE 8:11]
      • Can a system of equations have more then one but not infinite number of solutions? [YOUTUBE 4:57]
      • Can we divide two matrices? [YOUTUBE 5:39]
      • Some statements about the inverse of matrices [YOUTUBE 2:53]
      • Inverse of matrices Example [YOUTUBE 3:40]
      • Using concept of inverse to solve a set of equations [YOUTUBE 2:27]
      • Finding the inverse of a matrix Theory [YOUTUBE 4:32]
      • Finding the inverse of a matrix Example [YOUTUBE 7:03]
      • Finding the inverse of a matrix by adjoints Theory [YOUTUBE 2:15]
      • Finding the inverse of a matrix by adjoints Example [YOUTUBE 7:19]
      • If the inverse of [A] exists, is it unique? [YOUTUBE 2:30]
Presentations
      • PowerPoint Presentation of System of Equations [PDF] [PPT]
Multiple Choice Test
Problem Set
      • Problem set for System of Equations [PDF] [DOC]
Related Topics