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#
Introduction to Linear Algebra with MATLAB

## Modules

## Lessons

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Course Overview(Preview)

Course Outline Solving Systems of Linear Equations Identify linear equations, solve systems of linear equations, and explore cases with no solution or infinite solutions. Eignenvalue Decomposition Graphically explore eigenvectors
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Linear Equations and Systems(Preview)

What Makes an Equation Linear? All equations can be classified as either linear or nonlinear. Linear Equations A linear equation has only two types of terms: constants, and variables
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Preparing Systems(Preview)

Review: Matrix-Vector Multiplication Matrix Dimensions Two matrices being multiplied must have compatible dimensions. The inner dimensions of the matrices being multiplied must agree. The result has size equal to the
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The Backslash Operator(Preview)

Plot and Solve a System of Linear Equations Task 1 In this activity, you will find the point in intersection between two lines: y=6−x y=2+3x Use the linspace function to
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Limitations(Preview)

Special Cases All the systems of equations shown so far have had the same number of equations as unknowns. This means the coefficient matrix A is square. Also, solving them
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Review – Solving Systems of Linear Equations(Preview)

A linear equation has only two types of terms: constants, and variables multiplied by constants. To solve a system of linear equations in MATLAB, you first need to
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Eigenvalues and Eigenvectors of a Matrix(Preview)

What are Eigenvalues and Eigenvectors? A matrix can be represented by its eigenvalues and eigenvectors. This representation is called the eigenvalue decomposition. Eigenvalues and eigenvectors come in sets. The key
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Calculating Eigenvalues and Eigenvectors(Preview)

Use eig to Find Eigenvectors and Eigenvalues Task 1 Create a matrix A that contains Hint A is a matrix with two rows and two columns. Use semicolons to separate
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Review – Eigenvalue Decomposition(Preview)

Visualizing Eigenvectors When you multiply a matrix and its eigenvector, the eigenvector is simply scaled, and the scaling factor is the eigenvalue. The eig Function For