Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.4x - 3y + z = 224x + y + 5z = 303x-y-z = 4

The augmented matrix for this system is

Subtract row 1 from row 2, and subtract 3(row 1) from 4(row 3):

Multiply row 2 by 1/4:

Subtract 5(row 2) from row 3:

Multiply row 3 by -1/12:

While this isn't exactly RREF, you can already solve the system quite easily:

We can confirm this solution by continuing with the row reduction. Subtract row 3 from row 2:

Subtract -3(row 2) and row 3 from row 1:

Finally, multiply row 1 by 1/4:

and we end up with , as before.

99

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.