# Find the row interchanges that are required to solve the following linear systems using Algorithm 6.1. a. x1 5x2 + x3 = 7, 10x1 + 20x3 = 6, 5x1 x3 = 4 b. x1 + x2 x3

Find the row interchanges that are required to solve the following linear systems using Algorithm 6.1.

a. x1 − 5x2 + x3 = 7,

10x1 + 20x3 = 6,

5x1 − x3 = 4

b. x1 + x2 − x3 = 1,

x1 + x2 + 4x3 = 2,

2x1 − x2 + 2x3 = 3

c. 2x1 − 3x2 + 2x3 = 5,

−4x1 + 2x2 − 6x3 = 14,

2x1 + 2x2 + 4x3 = 8.

d. x2 + x3 = 6,

x1 − 2x2 − x3 = 4,

x1 − x2 + x3 = 5.

a. x1 − 5x2 + x3 = 7,

10x1 + 20x3 = 6,

5x1 − x3 = 4

b. x1 + x2 − x3 = 1,

x1 + x2 + 4x3 = 2,

2x1 − x2 + 2x3 = 3

c. 2x1 − 3x2 + 2x3 = 5,

−4x1 + 2x2 − 6x3 = 14,

2x1 + 2x2 + 4x3 = 8.

d. x2 + x3 = 6,

x1 − 2x2 − x3 = 4,

x1 − x2 + x3 = 5.

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