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Unformatted text preview: Notes on linear algebra (Monday 17th October, 2016, 23:10) page 52 Proposition 3.2. The system of m linear equations 1511,1361 4" 1511,2362 4* ' ' * + flmxn = 191; 1512.1351 + 32,2962 + ' ' ' + 32$er = 192; amlxl + fling-7‘52 ‘1‘ ' ' ' + 3111,.an = bra in a unknowns 3:1, 362,. . . , x” is equivalent to the vector equation 31,1 421,2 ' ' ' £11,}: x1 131 ‘12,1 I122 ' ' ' Rm 352 = 132 (38) film “m2 ' ' ' flan 17a bat In other words, it is equivalent to the vector equation Ax = b, (39) where ...
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