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Change Of Basis In R^n, Finding Transition Matrices
by Amy Kelley
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Finding A Basis For And Dimension Of The Solution Space Of A Homogeneous System Of Linear Equations
Finding Bases For The Row Space And Column Space Of A Matrix
Determining Whether S Is A Basis For An Indicated Vector Space
Finding Orthogonal Vectors
Testing For Linear Independence
Linear Combinations
Finding The Angle Between Two Vectors
Finding The Length Of A Vector And Verifying A Unit Vector
Finding the Expected Value, Variance, and Standard Deviation of a Discrete Random Variable
Conditional Probability
Probability- The Addition Rule And General Multiplication Rule
Vector Sub spaces
Vector Spaces
Writing A Vector As A Linear Combination Of Other Vectors
Vectors In R^n
Properties Of Vector Addition And Scalar Multiplication In The Plane.
Vectors In The Plane
Using Determinants To Find The Equation Of A Line Passing Through A Pair Of Points
Cramer's Rule
The Adjoint Of A Matrix
Using The Characteristic Equation To Find Eigenvalues And Eigenvectors
Introduction To Eigenvalues And Eigenvectors
Properties Of Determinants (continued...)
