39 349 this theorem starts a list of equivalent

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Unformatted text preview: orem (3.3.9 / 3.4.9). This theorem starts a list of equivalent statements about square matrices, in terms of invertibility, solution of linear systems, shape of the row reduced echelon form, linear independence. More to come in the next few weeks. Vocabulary Dr. Marni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY Version of: 11-Dec-09 • • • • • Elementary matrices, row equivalent matrices. Consistency problem. Subspace, closure by addition, closure by scalar multiplication. Span o...
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