Page 259 - Linear Algebra Done Right
P. 259

permutation, 226
                                                          spans, 22
                      perpendicular, 102
                                                          spectral theorem, 133, 136
                      point, 10                     Index  span, 22                                        251
                      polynomial, 10                      square root of an operator,
                      positive operator, 144                      145, 159
                      positive semidefinite operator,      standard basis, 27
                              144                         subspace, 13
                      product, 41                         sum of subspaces, 14
                      projection, 92                      surjective, 44
                      Pythagorean theorem, 102
                                                          trace of a square matrix,
                      range, 43                                   218
                      real part, 69                       trace of an operator, 217
                      real spectral theorem, 136          transpose, 120
                      real vector space, 9                triangle inequality, 105
                      root, 64                            tuple, 4

                      scalar, 3                           unitary operator, 148
                      scalar multiplication, 9            upper triangular, 83
                      self-adjoint, 128
                      sign of a permutation, 228          vector, 6, 10
                      signum, 228                         vector space, 9
                      singular matrix, 214                volume, 238
                      singular values, 155
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