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Summary Of: Linear transformation
linear transformation is differentiation on the space of smooth functions equipped with the supremum norm...
Encyclodia Page On: Linear transformation
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mathematics
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function
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vector spaces
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scalar
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endomorphisms
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linear function
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abstract algebra
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homomorphism
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morphism
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category
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field
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field
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additivity
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homogeneity of degree 1
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conjugation
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complex numbers
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linear functional
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identity map
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zero map
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matrix
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column vector
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finite-dimensional
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integral
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interval
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Differentiation
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finite-dimensional
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bases
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matrix
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Euclidean space
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dimensional
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rotation
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rotation
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reflection
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scaling
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vertical shear mapping
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squeezing
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projection
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inverse
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associative algebra
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composition of maps
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matrix multiplication
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matrix addition
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endomorphism
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associative algebra
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ring
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identity map
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isomorphism
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automorphism
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group
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automorphism group
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units
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isomorphic
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associative algebra
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isomorphic
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general linear group
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kernel
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image
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range
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subspace
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dimension
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rank-nullity theorem
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rank
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nullity
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injective
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monomorphism
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one-to-one
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sets
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monic
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left-invertible
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identity map
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surjective
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epimorphism
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onto
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sets
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coker
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epic
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right-invertible
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identity map
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isomorphism
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bijection
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bimorphism
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nilpotent
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idempotent
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Discontinuous linear map
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topological vector spaces
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normed spaces
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continuous
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continuous linear operator
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bounded
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discontinuous linear operators
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computer graphics
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transformation matrix
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compiler optimizations
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Affine transformation
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Linear equation
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Antilinear map
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Transformation matrix
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Continuous linear operator
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Neural network
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Computer graphics
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Halmos, Paul R.
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Springer-Verlag
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ISBN 978-0-387-90093-3
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linear algebra
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Scalar
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Vector
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Vector space
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Vector resolute
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Linear span
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Linear projection
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Linear independence
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Linear combination
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Basis
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Column space
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Row space
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Dual space
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Orthogonality
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Rank
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Minor
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Kernel (matrix)
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Eigenvalue, eigenvector and eigenspace
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Least squares regressions
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Outer product
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Inner product space
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Cross product
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Dot product
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Transpose
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Gram–Schmidt process
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Matrix decomposition
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Categories
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Functions and mappings
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Abstract algebra
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Linear algebra
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This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Linear transformation"
.
