Home
Class 12
MATHS
If A=[(1,0,0),(0,-1,0),(0,0,2)] and B=[...

If `A=[(1,0,0),(0,-1,0),(0,0,2)]` and `B=[(2,0,0),(0, 3,0),(0,0,-1)]` , find `A+B` , `3A+4B` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

if A=[{:(3,-1,2),(0,5,-3),(1,-2,7):}]and B=[{:(1,0,0),(0,1,0),(0,0,1):}], find whether AB=BA or Not .

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

If adj [(1,0,2),(-1,1,-2),(0,2,1)]=[(5,a,-2),(1,1,0),(-2,-2,b)] , then find a ,b

If A=[(n,0 ,0),( 0,n,0),( 0, 0,n)] and B=[(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)] , then A B is equal to (A) B (B) n B (C) B^n (D) A+B

If A=|{:(1,0,0),(0,1,0),(0,0,1):}|" and A"=[{:(0,-3,4),(1,2,3),(0,5,5):}]," then find "(I-A)^(-1)

If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is

If A= [(0,1),(1,0)] and B= [(0,-x),(x,0)] , then

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

Find AB and BA if exists from the following matrices A and B: (i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}] (ii) A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}] (iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B ...

    Text Solution

    |

  2. If A=[2-1 3 1] and B=[1 4 7 2] , find 3A-2Bdot

    Text Solution

    |

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

    Text Solution

    |

  4. Simplify: costheta[costhetasintheta-sinthetacostheta]+sintheta[sinthet...

    Text Solution

    |

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

    Text Solution

    |

  6. Find a matrix A , if A+[2 3-1 4]=[3-6-3 8] .

    Text Solution

    |

  7. Find x ,\ y ,\ z ,\ t if 2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5)...

    Text Solution

    |

  8. Find non-zero values of x satisfying the matrix equation: x[2x2 ...

    Text Solution

    |

  9. If A ,\ B and C are three matrices of the same order, then prove th...

    Text Solution

    |

  10. Find a matrix X such that 2A+B+X=O , where A=[[-1, 2],[ 3, 4]] and B=[...

    Text Solution

    |

  11. Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]]...

    Text Solution

    |

  12. Solve the matrix equation [x^2y^2]-3[x2y]=[-2 9] .

    Text Solution

    |

  13. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

    Text Solution

    |

  14. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

    Text Solution

    |

  15. Let A=[[2,4],[3,2]] , B=[[1 ,3],[-2 ,5]], C=[[-2,5],[3,4]] ,FIND: ...

    Text Solution

    |

  16. If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),( 3, 4, 1)] , C=[(-1, 2 ,3),( ...

    Text Solution

    |

  17. If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4...

    Text Solution

    |

  18. If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ (1\ \ \ \ 1\ -4) and C=d i ag\...

    Text Solution

    |

  19. Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C...

    Text Solution

    |

  20. Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0...

    Text Solution

    |