Question

Use the​ Gauss-Jordan method to solve the following system of equations.

5x+4y-3z+0

2x-y+5z=1

7x+3y+2z=1

Multiple Choice

A.The solution is

B.There is an infinite number of solutions. The solution is

C.

There is no solution.

Answer 1

5x + 4y - 3z = 0 - (1) 2x - y + 5z = 1 -(2) 7x + 3y – 2z = 1 - (3) Converting given equations into matrix form 54 - 30 2 -1 5 1 L7321_ R-R1=5 155 2-1 51 [7 3 2 1 R- R2-2*R L7 3 2 1 R₃ - R₂ - 7* R₂ R2 --R2* - 13

4 R; --21-5*R R:=R 0 0 0 0 17 x132 4 13 4 17 *13 13- 5 31 y = - 13 13 Solution By Gauss jordan elimination method 4 17 5 31 * 13 - 134, y = -13 + 132 and 3 = 2
Since we get solution in parametric terms of z.

So, we have infinite many solution. Option B is correct.

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