Question

1s 2. Perform the indicated elementary row operations. W rite the resulting matrix. Feel free to use fractions() o decimals (1.5) to get your answer. (c) | 0-4 1-13] ol; //.)'."--I?闱 (d) o i2

Answer 1

Solution:

[2 3 3 -2 16 11] rightarrow 1/2 R_1 rightarrow R_1 [1 3 1.5 -2 8 11] [1 3 3/2 -2 8 11] rightarrow -3R_1 + R_3 rightarrow R_2 [1 0 3/2 -13/2 8 -13] [1 0 3/2 -13/2 8 -13] (-2/13)R_2 rightarrow R_2 [1 0 3/2 1 8 2] [1 0 3/2 1 8 2] [1 0 3/2 1 8 2] (3/2) R2 + R1 rightarrow R1 [1 0 0 1 5 2]

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$\small \left ( b \right )$

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$\small \left ( c \right )$

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$\small \left ( d \right )$

$\small \begin{bmatrix} 1 & \frac{3}{2} & 8\\ \\ 0 & 1& 2 \end{bmatrix}\overset{\left ( \frac{3}{2} \right )R_{2}+R_{1}\rightarrow R_{1}}{\rightarrow}\begin{bmatrix} 1 & 0 & 5\\ \\ 0 & 1& 2 \end{bmatrix}$