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Unformatted text preview: A is NOT equal to the column space of U . 2.4.8 If n > m then there would be more columns than rows (a fat matrix). Since the dimension of the row space is equal to the dimension of the column 1 space, there would be at least nm free variables, and thus inFnite solutions. Therefore, this cannot be the case. If m > n then there would be more rows than columns (a tall matrix). If all n columns were linearly independent, then the only solution would be x = 0, and the rank would be n . Similarly, if m = n and all columns were linearly independent (and therefore rows as well) then the rank would be n as well. 2...
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This note was uploaded on 03/02/2008 for the course EE 441 taught by Professor Neely during the Spring '08 term at USC.
 Spring '08
 Neely

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