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What's on the worksheet
- Let $T:
- A linear transformation $T:
- For each linear map, say what its image is (a line, a plane, or the whole codomain) and give a basis for it.
- Let W be the plane x - 2y + 3z = 0 in R³.
- Mason is testing a small underwater drone with four thrusters.
- Let $T:
Teach it first
The free lesson teaches it with worked examples and practice problems.
Image: the lesson ›More Chapter 3 worksheets: Matrix algebra and linear transformations
- 3.1Matrix multiplication
- 3.2Linear transformation
- 3.3Finding the matrix of a transformation
- 3.4Composing transformations as a matrix product
- 3.5The transpose and symmetric matrices
- 3.6Finding an inverse by row reducing A next to I
- 3.7Kernel
- 3.8Image
- 3.9Rank and nullity
- 3.10Coordinates in a basis and change of basis