Pivot the system about the element in row 2, column 1. (Enter the augmented matrix with all cells in their original position.)

1 2 4 3

2 8 6 4

−1 4 2 3

Step-by-step explanation:

pivoting means producing a unit column in  matrices.

The aim is to make the elements above and below the pivot element o.

so we have;

we will make the pivot element a unit element that is 1.

 →

next we perform the operation - then we have

next we also perform the operation thus we have

up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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