Home
Class 12
MATHS
Use product [1-1 2 0 2-3 3-2 4]\ \ [-...

Use product `[1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2]` to solve the system of equation: `x-y+2z=1` `2y-3z=1` `3x-2y+4z=2`

Text Solution

Verified by Experts

given matrix are `[1-1 2 0 2-3 3-2 4][-2 0 1 9 2-3 6 1-2]`
thus, multiply both of them
`[1 0 0 0 1 0 0 0 1]`
Now, `AB=I`
thus, `A^-1=B`
`A^-1=[-2 0 1 9 2-3 6 1-2]`
From system of equation, we can say that, AX=C
...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

Similar Questions

Explore conceptually related problems

For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

Using matrix method, solve the system of equation 3x+2y-2z=3, x+2y+3z=6 and 2x-y+z=2

Solve the system of equations 2/x+3/y+(10)/z=4 , 4/x-6/y+5/z=1 , 6/x+9/y-(20)/z=2

Solve system of equations x+y+z+w=1 , x-2y+2z+2w=-6 , 2x+y-2z+2w=-5 , 3x-y+3z-3w=-3

Find A^(-1), where A=[1 2-3 2 3 2 3-3-4] . Hence solve the system of equations: x+2y-3z=-4,2x+3y+2z=2 , 3x-3y-4z=11

Using matrices solve the following system of equations : 2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

Solve the following system of equations: x-y+z=4,\ \ \ \ x-2y-2z=9,\ \ \ \ 2x+y+3z=1

If A=[1 2 0 -2 -1 -2 0 -1 1] , find A^(-1) . Using A^(-1) , solve the system of linear equations: x-2y=10 ,\ \ 2x+y+3z=8,\ \ -2y+z=7

Examine the consistency of the system of equations 3x -y - 2z = 2" " 2y -z = 1" " 3x - 5y = 3

Using matrix method, solve the system of equations: {:( x+2y+z=1 ),( x-y -z=2 ),( 2x+3y+z=1):}

NCERT ENGLISH-DETERMINANTS-All Questions
  1. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],...

    Text Solution

    |

  2. Show that Delta=|((y+z)^2,xy,zx),(xy,(x+z)^2,yz),(xz,yz,(x+y)^2)|=2x y...

    Text Solution

    |

  3. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

    Text Solution

    |

  4. Without expanding, prove that |(a+b x, c+dx, p+q x), (a x+b, c x+d, ...

    Text Solution

    |

  5. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x...

    Text Solution

    |

  6. By using properties of determinants. Show that: (i) |[a-b-c,2a,2a],[2b...

    Text Solution

    |

  7. By using properties of determinants. Show that:|[1,x,x^2],[x^2, 1,x],[...

    Text Solution

    |

  8. By using properties of determinants. Show that:|[1+a^2-b^2, 2a b,-2b],...

    Text Solution

    |

  9. By using properties of determinants. Show that:|[a^2+1,a b, a c],[ a b...

    Text Solution

    |

  10. Let A be a square matrix of order 3xx3, then |k A|is equal to (A) k|A...

    Text Solution

    |

  11. Which of the following is correct (A)   Determinant is a square matrix...

    Text Solution

    |

  12. Solve system of linear equations, using matrix method, 4x - 3y = 3" "...

    Text Solution

    |

  13. Solve system of linear equations, using matrix method, 2x - y = -2" "...

    Text Solution

    |

  14. Examine the consistency of the system of equations x + 3 y = 5" "2x + ...

    Text Solution

    |

  15. Examine the consistency of the system of equations 2x - y = 5" "x + y ...

    Text Solution

    |

  16. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost o...

    Text Solution

    |

  17. Prove that the determinant [(x,sintheta,costheta),(-sintheta,-x,1),(co...

    Text Solution

    |

  18. Find the inverse the matrix (if it exists)given in[(1,-1, 2),( 0, 2,-3...

    Text Solution

    |

  19. If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-...

    Text Solution

    |

  20. If A=[(3, 1),( 1, 2)], show that A^2-5A+5I=0. Hence, find A^(-1).

    Text Solution

    |