## Linear spaces in engineering |

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### Contents

Vector Spaces Chapter | 1 |

Functions of Vector Arguments Chapter 2 | 28 |

Linear Operators Chapter 3 | 63 |

Copyright | |

11 other sections not shown

### Common terms and phrases

adjoint application approximation arbitrary calculation characteristic polynomial characteristic roots characteristic values coefﬁcients column complex numbers compute concept consider constant continuous function convergence coordinates corresponding deﬁned denoted derived Determine diagonal matrix differential equation difﬁculty dimension distance function e-basis eigenvalues eigenvectors elementary divisors elements Euclidean space Example exists ﬁeld of real ﬁnd ﬁnite ﬁnite-dimensional ﬁrst ﬁxed point function f(A Hermitian Hilbert space identity inﬁnite initial condition vector inner-product space integral interpolation invariant factors inverse Jordan canonical form least-square linear manifold linear operator linear space linear system linear transformation linearly independent linearly independent vectors mapping matrix function method metric space minimal polynomial multiplication n-dimensional nonsingular norm orthogonal orthonormal basis positive deﬁnite problem quadratic form real numbers relative representation respect satisﬁes scalar Section sequence Show Solve speciﬁed square matrix subspace symmetric theorem unique vector equation vector space whence zero