Home
Class 12
MATHS
If A=[[1 , 2, 3],[ 2, 3 , 1]] and B=[...

If `A=[[1 , 2, 3],[ 2, 3 , 1]]` and `B=[[3, -1, 3],[ -1, 0, 2]]`, then find `2 A-B`.

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

If A=[[1 ,-2 , 3],[ -4, 2 ,5]] and B=[[2 , 3],[ 4, 5], [2 , 1]] , then find A B, B A . Show that AB ne BA .

If A^'=[[-2, 3],[ 1, 2]] and B=[[-1, 0],[ 1, 2]] , then find (A+2 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 (i) (A+B)^'=A^'+B^'

Given A=[[sqrt3 , 1 , -1], [2 , 3 , 0]] and B=[[[2 , sqrt5 , 1,]] , [[-2, 3 , 1/2]]] , find A+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

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

If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4]] , verify that i. (A^')^'=A ii. (A+B)^'=A^'+B^' iii. (k B)^'=k B^' , where k is any constant.

Let A=[[1,2,3],[3,1,2]] and B=[[-3,1,0],[1,3,-2]] Evaluate 3A-B

If A^T=[[-2,3],[1,2]] and B^T = [[-1,0],[1,2]] then find (A+2B)^T

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)^T = A^T-B^T

V PUBLICATION-MATRICES-QUESTION BANK
  1. The number of all possible matrices of order 3 xx 3 with each entry 0 ...

    Text Solution

    |

  2. Given A=[[sqrt3 , 1 , -1], [2 , 3 , 0]]and B=[[[2 , sqrt5 , 1,]] , [[...

    Text Solution

    |

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

    Text Solution

    |

  4. If A=[[8 ,0], [ 4 , -2],[ 3 , 6]] and B=[[2 , -2], [ 4 ,2], [ -5 , ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the values of x and y from the following equation: 2[[x , 5], [7 ...

    Text Solution

    |

  7. Find A B, if A=[[6, 9],[ 2 , 3]] and B=[[2, 6 ,0 ],[ 7,9,8]]

    Text Solution

    |

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

    Text Solution

    |

  9. Find A B, if A=[[0, -1],[ 0 , 2]]and B=[[3 , 5],[ 0, 0]]

    Text Solution

    |

  10. A=[[0 , 6 , 7 ],[ -6, 0 , 8 ],[ 7, -8, 0]], B=[[0, 1 ,1],[ 1 , 0...

    Text Solution

    |

  11. If A=[[1 , 2 , 3],[ 3, -2 , 1],[ 4, 2 , 1]], then show that A^3-23...

    Text Solution

    |

  12. Let A=[[2 , 4 ],[ 3, 2]], B=[[1, 3] ,[ -2 , 5]], C=[[-2 , 5 ],[ 3, ...

    Text Solution

    |

  13. Compute the following: i)[[a, b],[ -b, a]]+[[a, b],[ b , a]]. i...

    Text Solution

    |

  14. Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b...

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |