Flashcards
math4
Cards in this deck (21)
- 1definition: linearly independent
- 2proof: linearly independent
- 3definition: basis
- 4representation theorem
- 5Riesz representation theorem
- 6Dimension (kernel f)= #inputs-rank (A)
- 7dimension (image f)= rank (A)
- 8Definition: det A
- 9Proof: det A
- 10Definition: vector subspace
- 11definition: span
- 12Proof: representation theorem
- 13definition: image and kernel
- 14theorem on rank and nullity
- 15proof: linear operator cannot be surjective
- 16proof: linear operator cannot be injective
- 17proof: kerT cannot be empty. kerT is a subspace of Rn
- 18definition: rank and nullity
- 19Kronecker-capelli theorem
- 20proof: Kronecker-capelli
- 21Cramerthere is a unique solution: X=A-1
. b
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- Flashcards on math4, created by Catherine Tran on 23/12/2019.
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- Catherine Tran
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