Question
Asked Dec 3, 2019
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Solve using Gaussian method

3x+5y+2w=-12

2x+6z-w=-5

-2y+3z-3w=-3

-x+2y+4z+w=-2

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Expert Answer

Step 1

The solution for the set of equations using Gaussian method.

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Зх+5у+0z+2и%3D-12 2х+0у+62-w%3D-5 Ох -2у+3z-Зи %3D-3 -х+2у+4z+w%3D -2

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Step 2

Convert the equation into matrix form,

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0 2 |-12] 3 5 6 -1 -5 2 -2 3 -3 -3 1-2 -1 2 4 0 2 |-12 3 5 1 -2 R=R, +→R4 -1 2 4 0 -2 3 -3 -3 6 -1 -5 3 2 |-12 -6 R2= R, +xR, R=R-*R, 11 3 3 -3 -3 -2 '4 10 3 4-

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Step 3

simplify...

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3 5 0 2 -12 11 0 3 5 -6 4 3 69 57 23 11 0 0 11 |R4=R+11R2 11 4 * 27 9 11 106 0 0 11 11 Interchange the row 3 and row 4. 3 5 2 -12 11 0 5 -6 4 27 9 11 11 106 0 0 11 유유 69 23 11 11 57 0 0 11

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Tagged in

Math

Algebra

Matrices