Home
Class 12
MATHS
Solve the following system of equations ...

Solve the following system of equations `3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0`

Text Solution

Verified by Experts

D=`[[3,-4,5],[1,1,-2],[2,3,1]]`
=`3(1-(-6)+4(5)+5*1`
=46.
`D!=0`
`D_x=D_y=D_z=0`
`x=D_x/D=0,y=0,z=0`
`(x,y,z)=(0,0,0)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the following- system of equations, 2x + 5y + 6z = 0, x - 3y + 8z = 0, 3x + y - 4z = 0

Solve the following system of linear equations. x+y+z=3 , y-z=0 , 2x-y=1

Solve the following systems of equations by Cramer's Rule: 3x-4y + 5z=6,x+y-2z+1 = 0,2x+3y+z=0

Solve the following systems of homogenous equations: {:(x+y +z = 0),(x - y -5z = 0),(x + 2y +4z = 0):}

Solve the following system of homogenous equations x+y+z=0,x+2y-z=0,2x+y+3z=0 .

Using matrices, solve the following system of equations: x\ -\ y+z=4;\ 2x+y\ -\ 3z=0;\ x+y+z=2

Solve the following system of linear equations by matrix method : 2x + y - z = 0, 3x + y + z = 3, x - 2y + 2z = 5

Solve the following systems of homogenous equations : {:(x+y - z = 0),(x - 2 y + z = 0),(3x + 6y - 5z = 0):}

Solve the following system of linear equations by matrix method : x + y + z = 3, y + 3z = 4, x - 2y -z =0