Revision #845 → #1367 · back to history
addedLinear mapba4a80802572
addedLinear map (formal definition)ab41b403f3da
addedPreservation of linear combinationsee03229d3d5e
addedLinear map sends zero to zero4e986ee55078
addedLinear functional165c1bcc69b2
addedUnique map of given form is linear6d8e2926fb03
addedLine through the originfaa2c189d173
addedHomothety is linearf9915710617e
addedZero map is linear9ba4462c7a1c
addedIdentity map is linear9b78f6e2175e
addedNon-linear map (first)cc43711109d3
addedAffine but not linear391e3b940445
addedMatrix defines a linear mapf0a0096a8e42
addedIsometry on real normed spaces8a22b9781597
addedDifferentiation is linear0e9076b97df9
addedDefinite integral is linear5af80902be1f
addedIndefinite integral is lineardca17ac4616d
addedLinear-maps-to-matrices is a linear isomorphism59f35dd25d7b
addedExpected value is linearc746755213c9
addedComponent scaling is linearc36c4c4526d4
addedAdditive function examplec488a55d33a0
addedHomogeneous function example706211a1036d
addedLinear isomorphism and endomorphismd08e1b87e612
addedLinear extension7061b172a30f
addedExistence criterion for linear extension0476448421c2
addedUniqueness of linear extension9fcae95ac8f9
addedLinearly independent set extensionc6faabcd79f7
addedExplicit linear extension example1e0222ca54d8
addedHahn–Banach dominated extension6c50a38ee0d8
addedMatrix representation of linear maps385797c19d9e
addedRotation by 90 degrees counterclockwise8ebedc52c522
addedRotation by angle θ53e1390769b9
addedReflection through the x axis188827db672f
addedReflection through the y axis863f306bf0fd
addedReflection through line at angle θb45a08ed7592
addedScaling by 26ff186352fa7
addedHorizontal shear mapping841f3b1678c5
addedSkew of y axisd8311e63fa75
addedSqueeze mapping30796025e936
addedProjection onto y axisc8e1b18910b1
addedConformal linear transformationbf1da9983224
addedComposition of linear maps is linear180f707aa606
addedInverse of a linear map is linear01457c09144d
addedPointwise sum of linear maps is linear7919c3e866a0
addedScalar multiple of a linear map is linear74e5937f7bc1
addedSet of linear maps forms a vector space52fa55b31782
addedEndomorphisms form an associative algebra0fe1c06cd21b
addedAutomorphism and automorphism groupa6b9771c4fd9
addedEndomorphism algebra isomorphic to matricesc9c0ef9fca4b
addedKernel and image0ac7dda7d031
addedRank–nullity theorem9abccaa030ee
addedRank and nullitycd17badeb70e
addedCokernel2c4ad85ceed0
addedCokernel exact sequence6274bb1c4c62
addedRank plus cokernel dimension8c294028c35f
addedCokernel example f(x,y) = (0,y)53b7eef802f5
addedInfinite-dimensional cokernel example16415a175fc5
addedIndex of a linear operator309a6f94d959
addedIndex equals dim(V) − dim(W)3bb77ebcf6ed
addedIndex as Euler characteristiced5af58f2f3e
addedMonomorphism (injective linear map)022524e1f13b
addedEpimorphism (surjective linear map)786ff96cda7c
addedIsomorphism5e5551d22ce1
addedNilpotent, idempotent, scaling endomorphisms38e860ccbb11
addedChange of basis formula4b8c9c4154af
addedLinear maps as (1,1) tensors4b9208569bd2
addedContinuity equals boundednessc6f5d628daad
addedDifferentiation is discontinuous4be4ce930b06