Home
Class 12
MATHS
Find X and Y, if i) X+Y=[[7, 0],[ 2, ...

Find `X` and `Y`, if
i) `X+Y=[[7, 0],[ 2, 5]]` and `X-Y=[[3 , 0],[ 0 , 3]]`
ii) `2 X+3 Y=[[2 , 3 ],[ 4 , 0]]` and `3 X+2 Y=[[2, (-2)],[ (-1) , 5]]`

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    V PUBLICATION|Exercise QUESTION BANK|39 Videos

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

Similar Questions

Explore conceptually related problems

Find X and Y if X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]]

Find X and Y , if X+Y=[[5 , 2],[ 0, 9]] and X-Y=[[3, 6],[ 0 , -1]]

If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find 2X+Y .

If X+Y=[[7,0],[2,5]] and X-Y=[[3,0],[0,3]] then Find X and Y.

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

Find X and Y if 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2,2],[-1,5]]

If X+Y=[[5,2],[0,9]] and X-Y=[[3,6],[0,-1]], f i nd 2X-3Y .

Find X if Y=[[3,2],[1,4]] 2X+Y=[[1,0],[-3,2]]

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

Find x, y, z and w if [[x-y, 2x+z],[2x-y, 3z+w]]=[[-1,5],[0,13]]

V PUBLICATION-MATRICES-QUESTION BANK
  1. If A=[[2/3, 1,5/3],[1/3, 2/3, 4/3],[7/3, 2, 2/3]] and B=[[2/5, 3/5, 1]...

    Text Solution

    |

  2. Simplify costheta[[costheta, sin theta],[-sintheta, costheta]]+sinthet...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

    Text Solution

    |

  6. Solve the equation for x, y, z and t, if 2[[x, z],[ y, t]]+3[[1, -...

    Text Solution

    |

  7. If x[[2],[3]]+y[[-1],[1]]=[[10],[5]] find the values of x and y.

    Text Solution

    |

  8. Given 3[[x,y],[z,w]]=[[x,6],[-1,2w]]+[[4, x+y],[z+w, 3]] find the va...

    Text Solution

    |

  9. F(x) =[[cos x, -sin x, 0],[ sin x, cos x, 0],[ 0, 0, 1]] Show ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If A=[[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]], prove that A^3-6 A^2+7...

    Text Solution

    |

  13. If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]], find k so that A^2=kA-2I

    Text Solution

    |

  14. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nx...

    Text Solution

    |

  18. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...

    Text Solution

    |

  19. If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4...

    Text Solution

    |

  20. If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T

    Text Solution

    |