lyssabug99
lyssabug99 lyssabug99
  • 13-08-2019
  • Mathematics
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Use Gauss-Jordan elimination to solve the following linear system:
5x-2y=-2
-x+4y=4

Use GaussJordan elimination to solve the following linear system 5x2y2 x4y4 class=

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Аноним Аноним
  • 13-08-2019

Answer:

x = 0 y = 1.

Step-by-step explanation:

Write it in matrix form  ( r1 and r2 refer to row 1 and row 2):-

( 5  -2 |  -2)     r1

(-1    4 |   4)     r2

4r2 + r1 --> r1 :

( 1   14 |  14)

(-1    4 |   4)

r2 + r1 ---> r2

( 1   14 |  14)

( 0  18 |  18)

r2 / 18:

( 1   14 |  14)

( 0   1  |    1)    So y = 1.

r1 - 14r2 = r1

( 1    0 |   0)   x = 0

( 0   1  |    1)

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