Home
Class 12
MATHS
If A=[(4,2),(-1,1)] then (A-21) (A-3I)=...

If `A=[(4,2),(-1,1)]` then `(A-21) (A-3I)=`

A

unit matrix

B

Non-singular

C

Null matrix

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos

  • MATRICES

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-II)|13 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=[(4,2),(-1,1)] , show that (A-2 I) A-3 I) =0

Let A=[[4,2],[-1,1]] .Then (A-2I)(A-3I) is equal to

Find the inverse of each of the matrices given below : If A=[(3,2),(2,1)] , verify that A^(2)-4A-I=O, and "hence " "find "A^(-1) .

If A=[(1,-2,1),(2,1,3)] and B=[(2,1),(3,2),(1,1)] then (AB)' is equal to

"If A" = [{:(1, 2), (1, 3):}] , then find A^(-1) + A . (a) I (b) 2I (c) 3I (d) 4I

If A=[(0,1,2),(1,2,3),(3,a,1)] and A^(-1)=[(1//2,-1//2,1//2),(-4,3,c),(5//2,-3//2,1//2)] , then the values of a and c are equal to

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

If A=[(2,1),(9,3)] and A^(2)-5A+7I=O , then A^(-1)=

FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)
  1. If P and Q are symmetric matrices and PQ=QP then which of the followin...

    Text Solution

    |

  2. If A is skew symmetric matrix, then I - A is (where I is identity matr...

    Text Solution

    |

  3. If A=[(4,2),(-1,1)] then (A-21) (A-3I)=

    Text Solution

    |

  4. If A =[{:( a,x,y),( x,b,z),( y,z,c) :}] : a,b,c,x,y,z, "in" (1,2,3,4...

    Text Solution

    |

  5. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  6. Let A is a matrix of order 100xx 50 and B is matrix of order 50xx 75...

    Text Solution

    |

  7. Let Mn =[mg] denotes a square matrix of order n with entries as follow...

    Text Solution

    |

  8. Let A be a 2xx 2 matrix with real entries and det (A)= d ne 0 such ...

    Text Solution

    |

  9. If alpha be the set of integral values of c for which the equations c...

    Text Solution

    |

  10. If A and B matrices commute then

    Text Solution

    |

  11. If A, B, C are invertible matrices, then (ABC)^(-1)=

    Text Solution

    |

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

    Text Solution

    |

  13. Trace of a skew symmetric matrix is always equal to

    Text Solution

    |

  14. If An= [ad ]A2 =[{:( a2, as),( a4 .a5):}], A5 =[{:( a6,a7,a8),( a9,a1...

    Text Solution

    |

  15. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

    Text Solution

    |

  16. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

    Text Solution

    |

  17. If A={:[(i,i),(-i,i)] and B= [{:( 1,-1),(-1,1) :}] then A^(8) equal...

    Text Solution

    |

  18. Let Aa n dB be two 2xx2 matrices. Consider the statements A B=O A+Oo...

    Text Solution

    |

  19. The number of 3xx3 matrices with entries from the set {-1, 0,1} such t...

    Text Solution

    |

  20. If A and B are symmetric matrices of order n(A!=B) then (A) A+B is ske...

    Text Solution

    |