Home
Class 12
MATHS
Solve the equation for x, y, z and t, if...

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

Text Solution

Verified by Experts

The correct Answer is:
x=3, y=6, z=9, t=6
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.1|10 Videos

  • LINEAR PROGRAMMING

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|8 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

Find the value of x, y, z and t for which 3{:[(x,y),(z,t)]={:[(x,6),(-1,2t)]+{:[(4,x+y),(z+t,3)]:}

Solve the following equations for X and Y : 2X-Y=[(3,-3,0),(3,3,2)], 2Y+X=[(4,1,5),(-1,4,-4)]

Solve for x, y and z, if {:((x+y,2),(1,0))={:((2,x-z),(2x-y,0)):}

The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0), (0)] has a solution for (x ,y ,z) besides (0,0,0)dot Then the value of k is _______.

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

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

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 the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

If A = [(1,2,-3),(2,3,2),(3,-3,-4)] , find A^(-1) and hance solve the system of linear equations: x + 2y - 3z = -4, 2x + 3y + 2z = 2, 3x - 3y -4z = 11

NCERT BANGLISH-MATRICES-EXERCISE 3.2
  1. Compute the indicated products: [(1),(2),(3)][(2,3,4)]

    Text Solution

    |

  2. If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(...

    Text Solution

    |

  3. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

    Text Solution

    |

  4. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

    Text Solution

    |

  5. Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) ...

    Text Solution

    |

  6. Find X, if Y=[(3,2),(1,4)] and 2X+Y=[(1,0),(-3,2)]

    Text Solution

    |

  7. Find the values of x and y, if 2{:[(1,3),(0,x)]+{:[(y,0),(1,2)]={:[(...

    Text Solution

    |

  8. Solve the equation for x, y, z and t, if 2[(x, y),(z,t)]+3[(1,-1),(0,2...

    Text Solution

    |

  9. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

    Text Solution

    |

  10. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

    Text Solution

    |

  11. If f(x)={:[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] show that f(alpha)f(b...

    Text Solution

    |

  12. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6...

    Text Solution

    |

  13. Find A^(2)-5A+6I, if A=[(2,0,1),(2,1,3),(1,-1,0)]

    Text Solution

    |

  14. If A=[(1,0,2),(0,2,1),(2,0,3)], prove that A^(3)-6A^(2)+7A+2I=0

    Text Solution

    |

  15. If A={:[(3,-2),(4,-2)], find k such that A^(2)=kA-2I(2)

    Text Solution

    |

  16. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

    Text Solution

    |

  17. A trust fund has Rs. 30,000 that must be invested in two different typ...

    Text Solution

    |

  18. The bookshop of a particular school has 10 dozen chemistry books, 8 do...

    Text Solution

    |

  19. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |

  20. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |