## Matrices and Determinoids, Volume 2 |

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### Contents

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### Common terms and phrases

admits of solution anti-correspondent assigned ranks compartite matrix complete intersection complete matrices complete space completely extravagant conjugate reciprocal contains core corranged corresponding deduce derangement determinant formed determinants of order diagonal minor determinant elements are constants factor matrices finite solutions formula formula D given matrix given spacelet homogeneous space horizontal and vertical horizontal rows identity integers consistent join leading diagonal Lemma matrix of rank minor matrix mutual orthotomy mutually equivalent mutually normal mutually orthogonal necessary conditions non-vanishing diagonal minor non-zero obtain possible ranks possible values postfactor primaries product matrix proof of Theorem prove real symmetric replace respectively satisfy the conditions satisfying the equation scalar similar matrix simple minor determinants skew-symmetric matrix solutions of rank spacelet of rank square semi-unit matrix symmetric equigradent transformation symmetric matrix Theorem II theorem is true transformation in Q unconnected undegenerate matrix undegenerate square matrix unitary equigradent transformations vanish vertical rows vertically equivalent