Home
Class 12
MATHS
If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = ...

If `A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]]`, then compute `(A+B)` and `(B-C)`. Also, verify that `A + (B-C) = (A + B) - C`.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

If A = [[0,6,7],[-6,0,8],[7,-8,0]], B = [[0,1,1],[1,0,2],[1,2,0]], C = [[2],[-2],[3]] Calculate AC, BC and (A + B)C . Also, verify that (A + B)C = AC + BC

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify that (A + B)' = A' + B'

If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify that (A - B)' = A' - B'

If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A-B)' = A' - B'

If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (A+B)' = A' + B'

If A = [[3,sqrt3,2],[4,2,0] and B = [[2,-1,2],[1,2,4]] , verify that : (A+B)' = A' + B'

PSEB-MATRICES-Exercise
  1. Compute the indicated products: [[2,1],[3,2],[-1,1]][[1,0,1],[-1,2,1]]

    Text Solution

    |

  2. Compute the indicated products: [[3,-1,3],[-1,0,2]][[2,-3],[1,0],[3,1]...

    Text Solution

    |

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

    Text Solution

    |

  4. 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],[1...

    Text Solution

    |

  5. Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Given3[[x,y],[z,w]] = [[x,6],[-1,2w]] + [[4,x+y],[z+w,3]] , find the v...

    Text Solution

    |

  12. If f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] , show that f(x).f(...

    Text Solution

    |

  13. Show that: [[5,-1],[6,7]][[2,1],[3,4]] ne [[2,1],[3,4]][[5,-1],[6,7]]

    Text Solution

    |

  14. Show that: [[1,2,3],[0,1,0],[1,1,0]][[-1,1,0],[0,-1,1],[2,3,4]] ne [[...

    Text Solution

    |

  15. If A = [[2,0,1],[2,1,3],[1,-1,0]] then find A^2-5A+6I.

    Text Solution

    |

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

    Text Solution

    |

  17. If (A=[[3,-2],[4,-2]]), find K such that (A^2=KA - 2I2).

    Text Solution

    |

  18. If A = [[0,-tan alpha/2],[tan alpha/2,0]] and I is the identity matrix...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |