Linear Algebra (1 point) Solve the system by finding the reduced row-echelon for

Question

Linear Algebra

(1 point) Solve the system by finding the reduced row-echelon form of the augmented matrix. -3x - 8y +13z 16 reduced row-echelon form: -3 -8 13 16 0 5/3 5/3 5/3 0 0 If there is one solution, give its coordinates in the answer spaces below. enter a formula for y n terms of t in the answer blan for and entera ormua or If there are infinitely many solutions, enter t in the answer blank for z in terms of t in the answer blank for x. If there are no solutions, leave the answer blanks for x, y and z empty.

Explanation / Answer

Augmented matrix for given system of equations

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Find the pivot in the 2nd column in the 2nd row

Eliminate the 2nd column

RRE form

Solution set:

x = -8 + 7t

y = 1 - t

z = t

t - free

X1 X2 X3 b 1 1 3 -4 -5 2 2 7 -7 -9 3 -3 -8 13 16

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