Proof: Any non-singular matrix A of order n and the identity matrix /a have the same order and same rank. Hence A ~ /a. Therefore, by the Theorem 4.4 1 , there exist elementary matrices Pj and Qj such that A=PsP5-\...P\lnQ\Q1.. .Q, . 1 0 4 5 0 3 0anbsp;...

Title | : | Engineering Mathematics I: For Uptu |

Author | : | Ram Babu |

Publisher | : | Pearson Education India - 2010-09-01 |

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