Flashcards
MATH 307 Ch 2.3 - 3.2
Cards in this deck (24)
- 1invertible matrixA matrix A ∈ Mn(F) is invertible or nonsingular if there exists an inverse matrix to A.
- 2singular matrixA matrix that is not invertible
- 3matrix product
- 4transpose
- 5inverse matrix
- 6elementary matrices
- 7rangeLet f : X → Y be a function. The range of f is the set {f(x) : x ∈ X}
- 8column space
- 9kernel
- 10eigenspace
- 11binary codeA binary code is a subset C ⊆ F^n in binary field for some n.
- 12encoding function
- 13binary linear codeA binary code is a subspace C ⊆ F^n in binary field for some n.
- 14linear encoding
- 15error-detecting encoding
- 16error-correcting encoding
- 17parity-check matrixFor a linear encoding with encoding matrix A ∈ Mn,k(F2), a matrix B ∈ Mm,n(F2)
is called a parity-check matrix for A if
ker B = C(A). - 18linear dependence
- 19linear independenceA list of vectors are linearly independent if they are not linearly dependent.
- 20The linear dependence lemma
- 21finite dimensionalA vector space V is finite-dimensional if there exists a finite list of vectors
(v1, . . . ,vn) in V such that V ⊆ . - 22infinite dimensionalA vector space V is infinite-dimensional if there exists no finite list of vectors in V
which spans V. - 23basis
- 24standard basis
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- Linear Algebra Flashcards on MATH 307 Ch 2.3 - 3.2, created by Daniel Luo on 07/10/2019.
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