Question

solve the following system and classify it consistent
or inconsistent

×+3y+3z=8

x-y+3z=4

2x+6y+6z=16

Answer #1

For a real number "a", consider the system of equations:
x+y+z=2
2x+3y+3z=4
2x+3y+(a^2-1)z=a+2
Which of the following statements is true?
A. If a= 3 then the system is inconsistent.
B. If a= 1 then the system has infinitely many solutions.
C. If a=−1 then the system has at least two distinct
solutions.
D. If a= 2 then the system has a unique solution.
E. If a=−2 then the system is inconsistent.

Solve the following system of equations.
{−x+4y−z=-4
3x−y+2z=6
2x−3y+3z=−2
Give your answer as an ordered triple
(x,y,z).

Consider the following linear system:
x + 2y + 3z = 6
2x - 3y + 2z = 14
3x + y - z = -2
Use Gaussian Elimination with Partial Pivoting to
solve a solution in an approximated sense.

1. Solve the following system of equations by the elimination
method:
2x+y-z=7
x+2y+z=8
x-2y+3z=2
2. Solve the following system of equations by using row
operations on a matrix:
2x+y-z=7
x+2y+z=8
x-2y+3z=2

4. Solve the system of equations.
2x – y + z = –7
x – 3y + 4z = –19
–x + 4y – 3z = 18.
A. There is one solution (–1, –2, –3).
B. There is one solution (1, 2, 3).
C. There is one solution (–1, 2, –3).
D. There is one solution (1, –2, 3).

1. Solve by via Gauss-Jordan elimination:
a) 2y + 3z = 8
2x + 3y + z =
5
x − y − 2z =
−5
b) x + 3y + 2z = 5
x −
y + 3z = 3
3x + y + 8z = 10
c) 3x1 + x2 + x3 + 6x4 = 14
x1 − 2x2 +
5x3 − 5x4 = −7
4x1 + x2 + 2x3 + 7x4 =
17

Solve the following system of equations using matrices(row
operations). If the system has no solution, say that it is
inconsistent.
x + 6y+ 3z = 1
3x - 3y + 3z = 3
4x + 3y + 4z = 4

for 7-9 you will solve the following system of equation :
2x+3u+z=17 x-3y+2z=-8 5x-2y+3z=5 7) what is the solution for x? a)2
b)1 c)infinitely many solution d)no solution 8)what is the solution
for y? a)4 b)2 c)inifinitely many solutions d)no solution 9) what
is the solution for z? a)9 b)1 c)inifinitely many solutions d)no
solution

Sec 6.2
1.Write an augmented matrix for the following system of
equations.
9x-8y+6z=-1
7x-5y+2z=9
6y-8z=-9
The entries in the matrix are ?
2.use row operations on the augmented matrix as far as necessary
to to determine whether they system is independent, dependent, or
inconsistent ?
4x-6y+5x=-2
-8x+12y-10z=4
-12x+18y-15z=6
3. use row operations on the augmented matrix as far as
necessary to to determine whether they system is independent,
dependent, or inconsistent ?
5x-7y+4z=13
-5x+7y-4z=-15
-10x+14y-8z=-27
4. Solve the system by...

Solve each system of equations
x-2y+3z=7
2x+y+z=4
-3x+2y-2z=-10

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