Intro to finding the standard matrix of a linear transformation
Intro to finding the standard matrix of a linear transformation
13:05
About this lesson
• \(T(x)=Ax, A\): The Standard Matrix
• \(\Bbb{R}^2\) standard Basis:
and 
• \(\Bbb{R}^3\) standard Basis:
• Transformed standard basis
• Finding the Standard Matrix
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Video 1 of 9
Intro to finding the standard matrix of a linear transformation
13 min
• Selected
Finding the standard matrix of an x2 (y-axis) reflection geometrically
8 min
Common geometric linear transformations and their standard matrices
19 min
Finding the standard matrix from T(e1) and T(e2) using two methods
6 min
Finding the standard matrix for a transformation from R3 to R4
8 min
Finding the standard matrix of a vertical shear transformation in R2
7 min
Composing two reflections to find the standard matrix
11 min
Proving linearity by finding the standard matrix for a mapping from R3 to R2
6 min
Finding an input vector x given a target transformation output
9 min