Learning Objectives
Upon successful completion of this module, you will be able to:
1) Define what a matrix is.
2) Identify the number of rows and columns in a matrix.
3) Identify and define row and column vectors.
4) Identify and define square matrices.
5) Identify and define identity matrices.
6) Identify and define upper and lower triangular matrices.
7) Add two matrices.
8) Subtract two matrices.
9) Multiply two matrices.
10) Find the inverse of a matrix.
11) Write algebraic equations in matrix form.
12) Relate the inverse of a matrix to solve a set of simultaneous linear equations.
Videos
Title: What is a Matrix?
Summary: Learn what a matrix is.
Learning Objectives: Define a matrix.
Transcript: Read the transcript
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Title: What is a Row Vector
Summary: Learn what a row vector is.
Learning Objectives: Define a row vector.
Transcript: Read the transcript
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Title: What is a Column Vector
Summary: Learn what a column vector is.
Learning Objectives: Define a column vector.
Transcript: Read the transcript
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Title: What is a Square Matrix
Summary: Learn what a square matrix is.
Learning Objectives: Define a square matrix.
Transcript: Read the transcript
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Title: What is an Upper Triangular Matrix
Summary: Learn what an upper triangular matrix is.
Learning Objectives: Define an upper triangular matrix.
Transcript: Read the transcript
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Title: What is a Lower Triangular Matrix
Summary: Learn what a lower triangular matrix is.
Learning Objectives: Define a lower triangular matrix.
Transcript: Read the transcript
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Title: What is an Identity Matrix
Summary: Learn what an identity matrix is.
Learning Objectives: Define an identity matrix.
Transcript: Read the transcript
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Title: Adding two Matrices
Summary: Learn the theory of adding two matrices.
Learning Objectives: Adding two matrices
Transcript: Read the transcript
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Title: Adding two Matrices: Example
Summary: Learn the application of adding two matrices.
Learning Objectives: Adding two matrices
Transcript: Read the transcript
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Title: Subtracting Two Matrices
Summary: Learn the theory of subtracting two matrices.
Learning Objectives: Subtracting two matrices
Transcript: Read the transcript
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Title: Subtracting Two Matrices: Example
Summary: Learn the application of subtracting two matrices.
Learning Objectives: Subtracting two matrices
Transcript: Read the transcript
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Title: Multiplying Two Matrices
Summary: Learn the theory of multiplying two matrices.
Learning Objectives: Multiplying two matrices
Transcript: Read the transcript
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Title: Multiplying Two Matrices: Example
Summary: Learn the application of multiplying two matrices.
Learning Objectives: Multiplying two matrices
Transcript: Read the transcript
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Title: A Real Life Problem of Setting Up Simultaneous Linear Equations
Summary: Learn a real-life problem of setting up simultaneous linear equations.
Learning Objectives: Set up simultaneous linear equations for a physical problem.
Transcript: Read the transcript
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Title: Writing Problems in Matrix Form
Summary: Learn a real-life problem of setting up simultaneous linear equations in matrix form.
Learning Objectives: Learn a real-life problem of setting up simultaneous linear equations in matrix form.
Transcript: Read the transcript
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Title: Can We Divide Two Matrices?
Summary: Learn if we can divide two matrices.
Learning Objectives: Why or why not two matrices can be divided?
Transcript: Read the transcript
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Title: Statements About the Inverse of Matrices
Summary: Learn some statements about the inverse of matrices.
Learning Objectives: Know some critical statements about the inverse of matrices.
Transcript: Read the transcript
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Title: Inverse of a Matrix Example
Summary: Learn via an example if a matrix is the inverse of another
Learning Objectives: Verify whether a matrix is the inverse of another matrix.
Transcript: Read the transcript
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Title: Using Concepts of Inverse to Solve a Set of Equations
Summary: Learn via an example how to find a solution to a set of equations if the inverse of the matrix is given.
Learning Objectives: Finding the solution to a set of equations when the inverse of the coefficient matrix is given.
Transcript: Read the transcript
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