Home
Class 12
MATHS
Find x ,\ y ,\ z\ a n d\ t , if 3[x y z ...

Find `x ,\ y ,\ z\ a n d\ t` , if `3[x y z t]=[x6-1 2t]+[4x+y z+t3]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]

Find x ,\ y ,\ z ,\ t if 2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5),( 4 ,6)] .

Solve the equation for x, y, z and t, if 2[x, z , y, t]+3[1, -1 , 0 , 2]=3[3, 5, 4, 6]

Solve the equation for x, y, z and t, if 2[[x ,z ],[y ,t]]+3[[1,-1 ],[0 ,2]]=3[[3 ,5 ],[4 ,6]]

Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z] satisfy the equation A^T\ A=I_3 .

Find x ,\ y and z so that A=B , where A=[x-2 3 2z 18 z y+2 6z] , B=[y z6 6y x2y]

If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1, find the value of x^3+y^3+z^3

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in GP and D=0,\ t h e n\ y\ is equal to- a. 1 b. 2 c. 4\ d. none of these

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in A.P. and D=o,\ t h e n\ 2x^2z+x^2z^2 is equal to a. 1 b. 2 c. 3\ d. none of these

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Find a matrix X such that 2A+B+X=O , where A=[-1 2 3 4] , B=[3-2 1 5]

    Text Solution

    |

  2. If A=[8 0 4-2 3 6] and B=[2-2 4 2-5 1] , then find the matrix X of ord...

    Text Solution

    |

  3. Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

    Text Solution

    |

  4. Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]

    Text Solution

    |

  5. If X and Y are 2xx2 matrices, then solve the following matrix equat...

    Text Solution

    |

  6. In a certain city there are 30 colleges. Each college has 15 peons,...

    Text Solution

    |

  7. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

  8. Let A=[(1,-2),( 3, 3),( 2,-1)] and B=[(2 ,3, -1),( 2, 4, -5)] . Find A...

    Text Solution

    |

  9. If A,B,C are matrices such that A=[x y z], B=[[a,h,g] , [h, b, f] , [g...

    Text Solution

    |

  10. If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2

    Text Solution

    |

  11. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

    Text Solution

    |

  12. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

    Text Solution

    |

  13. If A=[alpha0 1 1]a n dB=[1 0 5 1], find the values of alpha for which ...

    Text Solution

    |

  14. Let A-[2-1 3 4], B-[5 2 7 4], C-[2 5 3 8] . Find a matrix D such that ...

    Text Solution

    |

  15. Find the value of x such that [1x1][1 3 2 2 5 1 15 3 2][1 2x]=0

    Text Solution

    |

  16. If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that...

    Text Solution

    |

  17. If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15],fin dAdot

    Text Solution

    |

  18. Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0...

    Text Solution

    |

  19. If A=[3 1-1 2], show that A^2-5A+7I=0

    Text Solution

    |

  20. Prove the following by principle of mathematical induction If A=[[3,-4...

    Text Solution

    |