English, asked by 0anuragms, 2 months ago

x+y+z =9 ,x - 2y+3z= 8, 2x+y-z=3 solve by gauss Jordan method​

Answers

Answered by s1272adrija5678
1

Explanation:

sorry don't know the answer please don't mind

Answered by vedikadixit52
1

Answer:

The solution to the given system of equations is x = 20/7, y = -8/7, and z = 18/7.

Explanation:

To solve the given system of equations by the Gauss-Jordan method, we need to write the augmented matrix first:

[1 1 1|9]

[1 -2 3|8]

[2 1 -1|3]

To perform row operations, we'll use the following notation:

R1 = Row 1, R2 = Row 2, R3 = Row 3

We want to make the R1 coefficient in R2 to be zero. To do this, we'll subtract R1 from R2.

R1 = R1

R2 = R2 - R1

R3 = R3

[1 1 1|9]

[0 -3 2|-1]

[2 1 -1|3]

Next, we want to make the R1 coefficient in R3 to be zero. To do this, we'll subtract 2R1 from R3.

R1 = R1

R2 = R2

R3 = R3 - 2R1

[1 1 1|9]

[0 -3 2|-1]

[0 -1 -3|-15]

We want to make the R2 coefficient in R3 to be zero. To do this, we'll subtract 3R2 from R3.

R1 = R1

R2 = R2

R3 = R3 + 3R2

[1 1 1|9]

[0 -3 2|-1]

[0 0 -7|-18]

To get the reduced row echelon form, we'll divide R3 by -7, then add 2R3 to R2, and subtract R3 from R1.

R1 = R1 + R3

R2 = R2 + 2R3

R3 = (-1/7)R3

[1 1 0|27/7]

[0 -3 0|24/7]

[0 0 1|18/7]

To get the final solution, we'll back-substitute the values.

z = 18/7

-3y = 24/7

y = -8/7

x + 1 + 0 = 27/7

x = 20/7

To know more about the concept please go through the links:

https://brainly.in/question/22774349

https://brainly.in/question/54144192

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