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Oct 25, 20143rd edition-linear-algebra-and-its-applications-solutions-manual 1. 1.1 SOLUTIONS Notes: The key exercises are 7 (or 11 or 12), 19–22, and 25. For brevity, the symbols R1, R2,, stand for row 1 (or equation 1), row 2 (or equation 2), and so on. Additional notes are at the end of the section.[PDF]

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Linear algebra moves steadily to n vectors in m-dimensional space. We still want combinations of the columns (in the column space). We still get m equations to produce b (one for each row). Those equations may or may not have a solution. They always have a least-squares solution. The interplay of columns and rows is the heart of linear algebra.

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