Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and x2 = s and solve for x1 and x3 in terms of t and s.) [1 0 0 1]
[0 0 1 0]
[0 0 0 0]

(x1, x2, x3, x4) =

Step-by-step explanation:

Given

Required

Determine x1 to x4

First, we write the augmented matrix

Taking the position of each column, we have:

There is no explicit equation for

So: ----- arbitrary variable

implies that:

implies that

implies that

So, we have:

becomes

Let

So:

Where t , s are real numbers

idk

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4