Home
Class 12
MATHS
If A = [{:( 1, 2),(3,-4):}] B= [{:( 2,...

If A = ` [{:( 1, 2),(3,-4):}] B= [{:( 2,-7),( 5, 8) :}] and C = [{:( 1,5),(0,2):}]` then show that A+B-C =`[{:( 2,-10),(8 , 2):}]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 Videos

  • MATRICES

    FIITJEE|Exercise SOLVED PROBLEM (SUBJECTIVE)|12 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(3,2),(1,0):}],B=[{:(1,-2,5),(0,7,3):}]" and "C=[{:(8,1,-6),(2,-5,0):}] , verify that A(B+C)=(AB+AC).

If A=[{:(,2,-1),(,3,4):}]=B=[{:(,5,2),(,7,4):}],C=[{:(,2,5),(,3,8):}] and AB-CD=0 find D.

If A={:((2,-2),(-2,2)):},B={:((5,3),(-7,2)):}and=C={:((4,2),(-8,1)):} then

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, B = { 2, 4, 6, 8} and C = {3, 4, 5, 6} then find the value of (B -C)' .

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, B = { 2, 4, 6, 8} and C = {3, 4, 5, 6} then find the value of B nn C' .

If A = {1, 2, 3, 4} , then B = {2, 4, 5, 6} and C = {1, 2, 5, 7, 8} , then (A cup C) cap B is equal to :

if U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, B = { 2, 4, 6, 8} and C = {3, 4, 5, 6} then find the value of (B - C)'.

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 compure (A+B) and (B-C), Also , verify that A+(B-C)=(A+B)-C.

If A=[[ 1 ,4 , 7 ] , [2 , 5 , 8 ]] and B=[[-3, 4 , 0 ],[ 4 ,-2 , -1 ]] then show that ( A + B )^T = A^T + B^T

FIITJEE-MATRICES -SOLVED PROBLEM
  1. (i)A^2-B^2!=(A+B)(A-B) Explain why in general(0 A? -8^@ = (A + B) (A -...

    Text Solution

    |

  2. Explain eohy in general(ii) (A +- B)^2 !=A^2 + B^2 +- 2AB.

    Text Solution

    |

  3. If A = [{:( 1, 2),(3,-4):}] B= [{:( 2,-7),( 5, 8) :}] and C = [{:( 1...

    Text Solution

    |

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

    Text Solution

    |

  5. If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

    Text Solution

    |

  6. Prove that every square matrix can be uniquely expressed as the sum of...

    Text Solution

    |

  7. If B is a real mxn matrix, show that B'B as well as BB'is a symmetric ...

    Text Solution

    |

  8. Solve the following system of equation by matrix method x + y - 2z = 1...

    Text Solution

    |

  9. Solve the following system of equation by matrix method x+2y +3z+1=...

    Text Solution

    |

  10. Find the values of lambda and mu so that the system of equations (i)...

    Text Solution

    |

  11. If A =[{:( 2,5,3),(3,1,2),(1,2,1) :}] then A^(-1) is equal to

    Text Solution

    |

  12. With the help of metrices the solution of the equations 3x+y+2z=3,2x-3...

    Text Solution

    |

  13. If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),(...

    Text Solution

    |

  14. If A and B are square matrices of order 3, then

    Text Solution

    |

  15. If A and B are any two square matrices of the same order than ,

    Text Solution

    |

  16. IF A = [{:( -2,3,-1),( -1,2,-1),( -6,9,-4) :}] and B = [{:( 1,3,-1),(...

    Text Solution

    |

  17. If A=[{:( 1,-tanx ),( tanx ,1):}] then the value of [A^(T) A^(-1) ] ...

    Text Solution

    |

  18. If A = [{:( alpha , 2),( 2,alpha ) :}] and |A^(3) | = 125 then the val...

    Text Solution

    |

  19. A= [{:( 1,0,0) ,( 0,1,1) , ( 0,-2,4) :}] ,I= [{:( 1,0,0) ,( 0,1,0),( 0...

    Text Solution

    |

  20. If A is a square matrix of order 5 and 9A^(-1) then [adj (adj AJJ] (...

    Text Solution

    |