#### MATH 122 - Ch 1 - Systems of linear equatons

4x(1) - 5x(2) + 2 = x(1) is linear or non-linear?

Linear

x(1)^2 + 3x(2) = 7 is linear or non-linear?

Non Linear

How many solutions in the system of:
x(1) - 2x(2) = -1
-x(1) + 2x(2) = 3

No solutions

2x(1) - x(2) + 1.5x(3) = 8
x(1) - 4x(3) = -7
This is a system of linear equations or non-linear

Linear

5x(1) - 4x(3) + x(2) = 5
Is a linear equation or non-linear?

Linear

3x(4)^(1/2) - 4 + 2x(2) = x(1) + x(4) Is a linear equation or non-linear?

Non-linear

Is the system:
2x(1) + x(2) = 5
1/2x(3) = 4
A viable linear system?

Yes

2x(1) + 2x(2) = 10
x(1) + 2x(2) = 7
(a): x(1) = 3, x(2) = 2
(b): x(1) = 1, x(2) = 0
Which of these answers (a and/or b) are solutions?

a

How many solutions to this system:
x(1) - 2x(2) = -1
-x(1) + 2x(2) = 3

No Solution

How many solutions in the system:
x(1) - 2x(2) = -1
-x(1) + 2x(2) = 1

Infinite line

Is the matrix Homogeneous or Non-Homogeneous?
[1 -2 : 0]
[0 2 : 0]

Homogeneous

Is the matrix Homogeneous or Non-Homogeneous?
[1 -2 : 0]
[0 2 : 8]

Non-Homogeneous