Home
Class 11
MATHS
If {:A=[(5,2),(3,1)]:}," then "A^(-1)=...

If `{:A=[(5,2),(3,1)]:}," then "A^(-1)=`

A

`{:[(1,0),(0,1)]:}`

B

`{:[(1,1),(0,0)]:}`

C

`{:[(0,0),(1,1)]:}`

D

`{:[(0,1),(1,0)]:}`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA|Exercise Exercise|80 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

Given A= ({:(5, -3), (-2, 1):}), " then "A^(-1) =_____.

If A=[[2,5],[-3,1]] ,then find A^(-1) .

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

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

Let A be a matrix such that adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)] then the value of

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

if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

If A{:[(1,2,3,5,6),(4,-1,2,-3,1)]:}andB={:[(5,3),(2,1),(-3,5),(4,1),(1,2)]:} , then find AB and BA.

If [{:(2,3),(4,1)]xx[{:(5,-2),(-3,1)]=[{:(1,-1),(17,lamda):}] then what is lamda equal to ?

If A=[[-1,5],[-3,2]] , then adj A= (A) [[2,3],[-5,-1]] (B) [[1,-5],[3,-2]] (C) [[2,-5],[3,-1]] ,(D) [[-2,5],[-3,1]]

OBJECTIVE RD SHARMA-MATRICES-Chapter Test
  1. If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1), is

    Text Solution

    |

  2. The inverse of the matrix {:[(1,3),(3,10)]:} is equal to

    Text Solution

    |

  3. If {:A=[(5,2),(3,1)]:}," then "A^(-1)=

    Text Solution

    |

  4. If {:X=[(3,-4),(1,-1)]:}, the value of X^n is equal to

    Text Solution

    |

  5. If {:A=[(5,2),(3,1)]:}," then "A^(-1)=

    Text Solution

    |

  6. For the system of equaltions : x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

    Text Solution

    |

  7. If {:A=[(3,1),(-1,2)]:}," then "A^(-2)=

    Text Solution

    |

  8. if |[4,x+2],[2x-3,x+1]| is a symmetric then x=

    Text Solution

    |

  9. If {:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0,-1)]:}," then "A=

    Text Solution

    |

  10. {:[(-6,5),(-7,6)]^(-1)=:}

    Text Solution

    |

  11. From the matrix equation AB = AC we can conclude B = C provided that

    Text Solution

    |

  12. If I3 is the identily matrix of order 3, then (I3)^(-1)=

    Text Solution

    |

  13. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  14. If A and B are two matrices such that A+B and AB are both defind, then

    Text Solution

    |

  15. A and B are tow square matrices of same order and A' denotes the tran...

    Text Solution

    |

  16. Consider the system of equations a1x+b1y+c1z=0 a2x+b2y+c2z=0 a3...

    Text Solution

    |

  17. The system of linear equations x+y+z=2 2x+y-z=3 3x+2y+kz=4 has a...

    Text Solution

    |

  18. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

    Text Solution

    |

  19. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

    Text Solution

    |

  20. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |