00O AT&T; LTE 8:33 PM math.mcneese.edu 26% E Previous Problem List Next (1 point

Question

00O AT&T; LTE 8:33 PM math.mcneese.edu 26% E Previous Problem List Next (1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix -x + 3y + 11z -3x + 2y+ 5z =-7 = 7 reduced row-echelon form: How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in

Explanation / Answer

This reduced row echelon form.

x+z = -5

x = -5-z

y+4z = -4

y=-4-4z

x = -5-z

y=-4-4z

z=z

there is infinite many solutions.

-1 3 11 : -7 -3 2 5 : 7 R1 = -R1 1 -3 -11 : 7 -3 2 5 : 7 R2 = R2 + 3R1 1 -3 -11 : 7 0 -7 -28 : 28 R2 = R2/-7 1 -3 -11 : 7 0 1 4 : -4 R1 = R1+3R2 1 0 1 : -5 0 1 4 : -4

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