Pre-Calculus 12: Matrices & Matrix Applications

Video Lectures

Displaying all 33 video lectures.
Lecture 1
What is a Matrix? 1
Play Video		 What is a Matrix? 1
In this video I will define what is a matrix and its rows and columns.

Next video in the Matrices series can be seen at:
http://youtu.be/YTV7ei1hyJI
Lecture 2
What is a Matrix? 2
Play Video		 What is a Matrix? 2
In this video I will explain the matrix elements and its i, j (row, column) subscripts, mxn matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/AaMIgwKtShQ
Lecture 3
Row Echelon Form
Play Video		 Row Echelon Form
In this video I will explain and show an example of a row-echelon form matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/uDNeLykDJas
Lecture 4
Reduced Row Echelon Form
Play Video		 Reduced Row Echelon Form
In this video I will show how to reduce a row echelon form matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/ElFIbVBZe8k
Lecture 5
Method of Gaussian Elimination: Example
Play Video		 Method of Gaussian Elimination: Example
In this video I will use the method of Gaussian elimination to solve for the unknowns.

Next video in the Matrices series can be seen at:
http://youtu.be/5mD_CnbC7Zk
Lecture 6
Method of Gaussian Elimination: 2x2 Matrix
Play Video		 Method of Gaussian Elimination: 2x2 Matrix
In this video I will use the method of Gaussian elimination to solve for a 2x2 matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/5EeqBabPSzg
Lecture 7
Method of Gaussian Elimination: 3x3 Matrix*
Play Video		 Method of Gaussian Elimination: 3x3 Matrix*
In this video I will use the method of Gaussian elimination to solve for a 3x3 matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/ux2K_v63F0Y
Lecture 8
Gaussian Elimination: 3x3 Matrix, No Solution
Play Video		 Gaussian Elimination: 3x3 Matrix, No Solution
In this video I will use the method of Gaussian elimination to solve for a system of 3 linear equations with no solution.

Next video in the Matrices series can be seen at:
http://youtu.be/aZgC7FnT9Ok
Lecture 9
Gaussian Elimination: 3x3, Infinite Solutions
Play Video		 Gaussian Elimination: 3x3, Infinite Solutions
In this video I will use the method of Gaussian elimination to solve for a system of 3 linear equations with infinite number of solutions.

Next video in the Matrices series can be seen at:
http://youtu.be/0D5z9WbdsBI
Lecture 10
Gaussian Elimination: Example of Solving 3x3
Play Video		 Gaussian Elimination: Example of Solving 3x3
In this video I will use the method of Gaussian elimination to find x=? y=? z=? of a 3 equation 3 unknown system of equations.

Next video in the Matrices series can be seen at:
http://youtu.be/_numHGhNrZI
Lecture 11
What are Equal Matrices?
Play Video		 What are Equal Matrices?
In this video I will explain what are equal matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/sQ4od79mGRA
Lecture 12
How to Add Matrices
Play Video		 How to Add Matrices
In this video I will find the sum of 2 matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/BLBG-9p3faw
Lecture 13
How to Subtract Matrices
Play Video		 How to Subtract Matrices
In this video I will find the difference of 2 matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/DrR7z20PWEg
Lecture 14
How to Multiply Matrices by a Number
Play Video		 How to Multiply Matrices by a Number
In this video I will find the scalar products with matrices. Find C=? if 4B=C where B and C are 2x2 matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/6NVZBJGszjU
Lecture 15
How to Solve Mixed Operations on Matrices
Play Video		 How to Solve Mixed Operations on Matrices
In this video I will find A-2B=? where A and B are matrices, mixed operations with matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/NTk1GcYqzUc
Lecture 16
How to Multiply (Square) Matrices
Play Video		 How to Multiply (Square) Matrices
In this video I will explain the condition needed for square matrices multiplication.

Next video in the Matrices series can be seen at:
http://youtu.be/Sxyde1xtkpU
Lecture 17
How to Multiply (Different Size) Matrices
Play Video		 How to Multiply (Different Size) Matrices
In this video I will explain the condition needed for 2 matrices (of different sizes) multiplication.

Next video in the Matrices series can be seen at:
http://youtu.be/fQp_X2JGbp0
Lecture 18
Matrices that CANNOT be Multiplied Together
Play Video		 Matrices that CANNOT be Multiplied Together
In this video I will explain why 2 matrices (3x1 and 2x3) cannot be multiplied together.

Next video in the Matrices series can be seen at:
http://youtu.be/iAZa-ysy_uQ
Lecture 19
What is an Identity Matrix?
Play Video		 What is an Identity Matrix?
In this video I will define, explain, and find the identity matrices to 1x1, 2x2, and 3x3 matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/KoKWMSABkuM
Lecture 20
What is the Inverse of a Matrix?
Play Video		 What is the Inverse of a Matrix?
In this video I will define and find the inverse of a 2x2 matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/F_fyoVXaowY
Lecture 21
Using the Determinant to Find the Inverse
Play Video		 Using the Determinant to Find the Inverse
In this video I will find the inverse of a 2x2 matrix using a determinant, method 1.

Next video in the Matrices series can be seen at:
http://youtu.be/fPHPUDOEn-Q
Lecture 22
Using Gaussian Elimin. to Find the Inverse
Play Video		 Using Gaussian Elimin. to Find the Inverse
In this video I will find the inverse of a 2x2 matrix using a the Gaussian elimination method.

Next video in the Matrices series can be seen at:
http://youtu.be/SfZa9Y0ZTfQ
Lecture 23
Finding the Inverse of a 3x3 Matrix
Play Video		 Finding the Inverse of a 3x3 Matrix
In this video I will find the inverse of a 3x3 matrix using a the Gaussian elimination method.

Next video in the Matrices series can be seen at:
http://youtu.be/WKmPLI-y1wc
Lecture 24
Dividing One Matrix by Another Matrix
Play Video		 Dividing One Matrix by Another Matrix
In this video I will find the division of one matrix by another matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/X8AG-gkifeU
Lecture 25
Solving Sys of Linear Eqn with Inverse
Play Video		 Solving Sys of Linear Eqn with Inverse
In this video I will explain how to find x=? y=? of systems of 2 linear equations using inverse matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/kQjTb6qtim0
Lecture 26
Solving Sys of Linear Eqn with Inverse
Play Video		 Solving Sys of Linear Eqn with Inverse
In this video I will find x=? y=? of systems of 2 linear equations using inverse matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/yJ-vSmO-Ogg
Lecture 27
Solving Sys of Linear Eqn with Inverse
Play Video		 Solving Sys of Linear Eqn with Inverse
In this video I will find x=? y=? of 2 systems of 2 linear equations using determinants.

Next video in the Matrices series can be seen at:
http://youtu.be/wKUOJ8DjeLw
Lecture 28
Solving Sys of Linear Eqn with Inverse
Play Video		 Solving Sys of Linear Eqn with Inverse
In this video I will find x=? y=? of systems of 3 linear equations using inverse matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/ZmQoZAh19-c
Lecture 29
Find the Determinant of a 2x2 Matrix
Play Video		 Find the Determinant of a 2x2 Matrix
In this video I will find the determinant of a 2x2 matrix.

Next video in the Matrices series can be seen at:
http://youtu.be/6MWu4BPR4Qs
Lecture 30
Find the Determinant of a 3x3 Matrix 1
Play Video		 Find the Determinant of a 3x3 Matrix 1
In this video I will find the determinant of a 3x3 matrix by breaking a 3x3 matrix into 3-2x2 matrices.

Next video in the Matrices series can be seen at:
http://youtu.be/WsoPIeJj4X4
Lecture 31
Find the Determinant of a 3x3 Matrix 2
Play Video		 Find the Determinant of a 3x3 Matrix 2
In this video I will find the determinant of a 3x3 matrix by using the “diagonal” method.

Next video in the Matrices series can be seen at:
http://youtu.be/JMjuaMY5BsQ
Lecture 32
Using Cramer's Rule to Find x=? y=?
Play Video		 Using Cramer's Rule to Find x=? y=?
In this video I will find x=? y=? of systems of 2 linear equations using Cramer's rule.

Next video in the Matrices series can be seen at:
http://youtu.be/UfwXTMygeVs
Lecture 33
Using Cramer's Rule to Find x=? y=? z=?
Play Video		 Using Cramer's Rule to Find x=? y=? z=?
In this video I will find x=? y=? z=? of systems of 3 linear equations using Cramer's rule.

First video in the Matrices series can be seen at:
https://youtu.be/pSgaeGFyLH0