Solve for x, y and z.
x−2y+3z=o
x−y−z=0
2x−3y+2z=0
Solve it Step By step by substitution.
Answers
Answer:
he constants, essentially replacing the equal signs. When a system is written in this form, we call it an augmented matrix.
For example, consider the following 2 × 2system of equations.
3x + 4y = 7
4x − 2y = 5
We can write this system as an augmented matrix (please note that a more common formatting for augmented matrices has a solid vertical line running through the matrix, rather than a line on each row):
[
3
4
|
7
4
−
2
|
5
]
We can also write a matrix containing just the coefficients. This is called the
coefficient matrix.
[
3
4
4
−
2
]
A three-by-three system of equations such as
3x − y − z = 0
x + y = 5
2x − 3z = 2
has a coefficient matrix
⎡
⎢
⎣
3
−
1
−
1
1
1
0
2
0
−
3
⎤
⎥
⎦
and is represented by the augmented matrix
⎡
⎢
⎣
3
−
1
−
1
∣
0
1
1
0
∣
5
2
0
−
3
∣
2
⎤
⎥
⎦
Notice it
Answer:
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Step-by-step explanation:
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