## Calculus: Multi-variable calculus and linear algebra, with applications to differential equations and probabilityBlaisdell Publishing Company, 1967 - Algebras, Linear |

### Contents

LINEAR TRANSFORMATIONS AND MATRICES | 21 |

Onetoone linear transformations | 31 |

EIGENVALUES OF OPERATORS ACTING | 114 |

Copyright | |

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### Common terms and phrases

A₁ Assume axioms basis c₁ C₂ called coefficients components compute constant continuous countable curve defined denote density determine differential equation distribution function double integral dx dy eigenvalues eigenvectors elements equal Euclidean space example Exercises exists finite formula function f Fy(t given gradient Green's theorem Hence Hermitian homogeneous independent inequality inner product interpolation Let f line integral linear space linear transformation maps multiplication n-space nonsingular nonzero norm null space obtain one-dimensional open interval operator orthogonal orthonormal parametric partial derivatives plane polynomial of degree probability Proof properties prove quadratic random variable real numbers rectangle region sample space satisfies scalar field Section solution subsets subspace surface integral theorem u₁ u₁(x vector field x₁ xy-plane y₁ zero ди дх ду