Home
Class 9
MATHS
If A={:[(2,3,-1),(5,6,1)]:}, then find ...

If `A={:[(2,3,-1),(5,6,1)]:}`, then find
(a) -A , (b)3A , (c ) `(1)/(4)A`.

Text Solution

Verified by Experts

(a) `-A--{:[(2,3,-1),(5,6,1)]:}`
`={:[(-1xx2,-1xx3,-1xx(-1)),(-1xx5,-1xx6,-1xx1)]:}={:[(-2,-3,1),(-5,-6,-1)]:}`.
(b) `3A=3{:[(2,3,-1),(5,6,1)]:}`
`={:[(3xx2,3xx3,3(-1)),(3xx5,3xx6,3xx1)]:}={:[(6,9,-3),(15,18,3)]:}`
`(1)/(4)A=(1)/(4){:[(2,3,-1),(5,6,1)]:}`
`={:[((1)/(4)xx2,(1)/(4)xx3,(1)/(4)xx(-1)),((1)/(4)xx5,(1)/(4)xx6,(1)/(4)xx1)]:}={:[((1)/(2),(3)/(4),(-1)/(4)),((5)/(4),(3)/(2),(1)/(4))]:}`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS VERY SHORT ANSWER TYPE QUESTIONS|1 Videos

  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTIONS)|28 Videos

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3 MCQ|15 Videos

  • NUMBER SYSTEMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

Similar Questions

Explore conceptually related problems

If A = [{:(2, 3, -1),(5, 6, 1):}] , then find (0) -A (b) 3A (c) (1)/(4)A .

If A = {1,2,3,4,5} and B = {6,5,4,1} then find (A uuB) - (A nn B) .

If A={1,2,3,6},B={1,3,4,6} and C={3,4,5,6,8} , then find a)B-C b)C-A

If A={1,2,3,4,5}, B={1,2,3,6,7} and C{8}, then find (A-B) xx C .

If A={:[(1,-4),(3,2)]:}andB={:[(6,-1),(3,2)]:} , then find the matrix C such that C=AB+B^(2) .

If A={3,4,6},B={1,3} and C={1,2,6} then find (A-B)xx(A-C).

If A={:[(1,7),(5,6)]:},B={:[(-3,2),(-1,5)]:}andC={:[(2,-3),(4,1)]:} , then find A(B+C) and AB+AC.

If ({:((1)/(2), -(3)/(5)),((4)/(6), -(1)/(7)):}) = ({:(-a, b), (c, -d):})({:(1, 0), (0, 1):}) then find a, b,c and d.

PEARSON IIT JEE FOUNDATION-MATRICES-LEVEL 3
  1. If A={:[(2,3,-1),(5,6,1)]:}, then find (a) -A , (b)3A , (c ) (1)/(4...

    Text Solution

    |

  2. If A={:[(p,-1),(q,1)]:},B={:[(1,-1),(1,2)]:}and(A+B)^(2)=A^(2)+2AB+B^(...

    Text Solution

    |

  3. If P={:[(2,-1),(-1,3)]:},Q={:[(1,-2),(-3,0)]:}andR={:[(-2,1),(2,-1)]:}...

    Text Solution

    |

  4. If {:((a,3),(4,5)):}{:((3,-2),(b,8)):}={:((30,20),(52,a)):}, then find...

    Text Solution

    |

  5. If P=[2" "2" "1],Q=[1" "2" "3],R={:[(1),(2),(3)]:},andS={:[(3),(2),(1...

    Text Solution

    |

  6. If y={:((4,-2),(3,0)):}andf(y)=y^(2)-y-6, find f(y).

    Text Solution

    |

  7. If the matrix A={:[(5,-3),(5,-3)]:}," then "A^(n+1) = .

    Text Solution

    |

  8. If A(x)={:[(e^(x),e^(x)),(e^(-x),e^(-x))]:} then A(x) A(y)=

    Text Solution

    |

  9. If A={:[(6,-7,1),(3,-2,1)]:}andB={:[(5,1,2),(-4,3,-5)]:} then find X s...

    Text Solution

    |

  10. If {:[(2,4),(p,1)]:}{:[(-1,2),(3,1)]:}={:[(10,q),(-2,r)]:}, then pq= ...

    Text Solution

    |

  11. If A={:[(-13,24),(-7,13)]:}, then A^(8) = .

    Text Solution

    |

  12. If A+B={:[(8,-9),(3,5)]:}andA-B={:[(6,5),(1,7)]:}, the A= .

    Text Solution

    |

  13. If A={:[(7,9),(3,8)]:}andB={:[(13),(18)]:} then find the matrix X such...

    Text Solution

    |

  14. If A={:[(a,b),(2,-1)]:},B={:[(1,1),(4,-1)]and(A+B)^(2)=A^(2)+B^(2), th...

    Text Solution

    |

  15. If A={:[(6,x),(7,-6)]:}andA^(2)=I, then x= .

    Text Solution

    |

  16. If A-B={:[(18,1,-9),(11,12,2)]:}andA+3B={:[(26,1,3),(-13,-16,10)]:}, t...

    Text Solution

    |

  17. If A={:[(1,4),(-2,5)]:}andB={:[(-6,-1),(-8,2)]:}, then AB + BA = .

    Text Solution

    |

  18. If A={:[(2,1),(0,3)]:}andf(x)=x^(2)-4x+3, then find f(A).

    Text Solution

    |

  19. If[5" "6]{:[(1,-3),(-1,x)]:}{:[(3),(4)]:}=[-15], then the value of x ...

    Text Solution

    |

  20. If A={:[(1,-4),(3,2)]:}andB={:[(6,-1),(3,2)]:}, then find the matrix C...

    Text Solution

    |

  21. If A-B^(T)={:[(-2,2,1),(3,6,5)]:}andA^(T)+B={:[(-4,5),(8,-2),(9,1)]:},...

    Text Solution

    |