- #1

Deimantas

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## Homework Statement

Find the base and dimension of a system of equations:

3x1 - 5x2 + 2x3 + 4x4 = 0

7x1 - 4x2 + 1x3 + 3x4 = 0

5x1 + 7x2 - 4x3 - 6x4 = 0

**2. The attempt at a solution**

Written in matrix form:

3 -5 2 4

7 -4 1 3

5 7 -4 -6

What I get:

11 -3 0 2

7 -4 1 3

11 -3 0 2

so, that's two identical rows. That means there's an infinite number of solutions, I think. What gives? I'm lost. Any help to solving this exercise is appreciated