Introduction to Matrices

Basic Matrix Operations - Dimension, Addition/Subtraction, Scalar Multiplication, Transpose etc.

• Video on What is a Matrix? (mathcentre)
• Video on Symmetric Matrices & Transpose (mathcentre)
• Video on Addition, Subtraction & Scalar Multiplication (mathcentre)
• Videos on Basic Matrix Operations - Dimension, Scalar Multiplication, Addition & Subtraction, Transpose (Khan Academy)
• Videos on Basic Matrix Operations - Scalar Multiplication, Addition & Subtraction (Patrick JMT)

Matrix Multiplication

• Video on Addition, Subtraction, Scalar Multiplication & Matrix Multiplication (Ted.com)
• Videos on Matrix Multiplication (Khan Academy)
• Video on Matrix Multiplication -I (Patrick JMT)
• Video on Matrix Multiplication - II (Patrick JMT)
• Video on Matrix Multiplication - I (mathcentre)
• Video on More Matrix Multiplication - II (mathcentre)

Determinants & Inverses

• Determinant of a 2x2 matrix (Khan Academy)
• Inverse of a 2x2 matrix (Khan Academy)
• Video on the Determinant of a 2x2 Matrix (Patrick JMT)
• Video on The Determinant of a 2x2 Matrix (mathcentre)
• Video on The Inverse of a 2x2 Matrix (mathcentre)

Row Reduction

• Videos on Row Reduction & Reduced Row Echelon Form (Khan Academy)
• Video on Row Reduction - I (Patrick JMT)
• Video on Row Reduction - II (Patrick JMT)
• Notes on Row Reduction (Gauss-Jordan Elimination) (Paul's Online Notes)
• Notes on Row Reduction (Paul's Online Notes)
• Video on Gauss-Jordan Elimination - I (Patrick JMT)
• Video on Gauss-Jordan Elimination - II (Patrick JMT)
• Video on Solving Simultaneous Equations using Matrices (mathcentre)
• Video on getting a Matrix into Row Echelon Form (MySecretMathTutor)
• Video on Row Reduction - Row Echelon Form (MIT Opencourseware)