## Mathematical tools for applied multivariate analysis |

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This is a great little book of the linear algebra used in multivariate analysis.

### Contents

Vector and Matrix Operations for Multivariate Analysis | 26 |

Vector and Matrix Concepts from a Geometric Viewpoint | 77 |

Linear Transformations from a Geometric Viewpoint | 127 |

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angle applied axes axis basic structure basis vectors Chapter coefficients column vector compute concept coordinates covariance matrix defined denotes described determinant diagonal matrix dimensions discussion echelon form eigenvalues eigenvectors elementary row operations entries equal example finding the eigenstructure function geometric Hence Hermite form identity matrix illustrated involving linear combination linear composite linear equations linear transformation linearly independent matrix algebra matrix inversion matrix rank matrix transformations mean-corrected multiple discriminant analysis multiple regression multivariate analysis multivariate techniques nonsingular nonsymmetric obtained orthogonal matrix orthonormal Panel pivotal method point transformation predictor variables principal components analysis procedure properties quadratic forms rectangular represented row vector sample problem scalar multiplication scalar product scores Section set of simultaneous shown simultaneous equations solution space SSCP matrix stationary point stretch subtraction sums of squares symmetric matrix Table transformation matrix transpose unit length values variance within-group Xi and X2 zero