Now you are in the subtree of Container for Linear Algebra project.
- The range/image of a linear transformation is a subspace.
- The inverse image of a subspace under a linear transformation is a subspace.
- Definition of kernel/null space of linear transformation
- The kernel/null space of a linear transformation is a subspace
- Definition of generalized kernel/null space of linear transformation
- Any vector space is the direct sum of the generalized kernel and gneralized range of a linear transformation on that space.
- The kernels of powers of a linear transformation form an ascending chain
- The range spaces of powers of a linear transformation form a descending chain
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