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Exercise 3.2.10

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Let $A$ be an $m \times 1$ matrix. Let $i$ be the smallest integer such that $A_{i 1} \neq 0$ . Now we can interchange, if it’s necessary, the first and the $i$ -th row. Next we can multiply the first row by scalar $\frac{1}{A_{11}}$ and we get $A_{11} = 1$ now. Finally add $- A_{k 1}$ times the first row to the $k$ -th row. This finished the process.

jephianlin

2011-06-27 00:00

Exercise 3.2.10

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