Home
Class 12
MATHS
Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4...

Given `3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)]`, find the values of x, y, z and w.

Text Solution

Verified by Experts

The correct Answer is:
x=2, y=4, w=3, z=1
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

If [(x+y,2x+z),(x-y,2z+w)]=[(4,7),(0,10)] then the values of x, y, z and w are -

If (2x)/3=(4y)/5=(7z)/9 then find the value of (4x+12y-21z)/(3y) .

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)]:}

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

If (1)/(root(3)(4) + root(3)(2) + 1) = xroot(3)(4) + y root(3)(2) + z , where x, y and z are rational, then find the value of x,y and z

Given that 'w' varies directly as the product of x and y and inversely as the square of z and that W = 4 when x = 2, y = 6 and z = 3 find the value of w when x =1, y = 4 and z = 2__

If w=z/[z-1/(3i)] and |w|=1, then find the locus of z

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)]

If |[x,x+y, x+y+z],[2x,3x+2y,4x+3y+2z],[3x,6x+3y, 10 x+6y+3z]|=64 , then the real value of x is __________.

If x,y,z are different and Delta = {:|( x,x^(2) , 1+x^(3)),( y,y^(3) ,1+y^(3)),( z,z^(3) ,1+z^(3)) |:} then value of delta?

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

    |