Home
Class 12
MATHS
If matrix A=([a(i j)])(2xx2) , where a(i...

If matrix `A=([a_(i j)])_(2xx2)` , where `a_(i j)={1,\ if\ i!=j0,\ if\ i+j` , then `A^2` is equal to `I` (b) `A` (c) `O` (d) ` I`

A

I

B

A

C

O

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 1)|14 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If matrix A=([a_(ij)])_(2xx2), where a_(ij)={1,quad if quad i!=j0,quad if i+j, then A^(2) is equal to I( b) A(c)O(d)I

If matrix A=[a_(ij)]_(2xx2^(,)) where a_(ij)=1" if "i!=j =0" if "i=j then A^(2) is equal to :

Construct a matrix [a_(ij)]_(2xx2) where a_(ij)=i+2j

If matrix A=[a_(ij)]_(2X2') where a_(ij)={[1,i!=j0,i=j]}, then A^(2) is equal to

Write down the matrix A=[a_(ij)]_(2xx3), where a_ij=2i-3j

if A=[a_(ij)]_(2*2) where a_(ij)={i+j,i!=j and a_(ij)=i^(2)-2j,i=j then A^(-1) is equal to

Construct a matrix [a_(ij)]_(3xx3) , where a_(ij)=2i-3j .

If A=|a_(ij)]_(2 xx 2) where a_(ij) = i-j then A =………….

DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 2)
  1. If A and B are 2xx2 matrices, then which of the following is true ?

    Text Solution

    |

  2. If p, q, r are 3 real number satisfying the matrix equation, [p q r][[...

    Text Solution

    |

  3. If f(x)=x^(2)+4x-5andA={:[(1,2),(4,-3)]:}, then f(A) is equal to

    Text Solution

    |

  4. If [(1,x,1)][(1,3,2),(0,5,1),(0,3,2)][(x),(1),(-2)]=[0] then x is

    Text Solution

    |

  5. Let A=[a0 0 0a0 0 0a] , then A^n is equal to [a^n0 0 0a^n0 0 0a] (b) [...

    Text Solution

    |

  6. Which is true about matirx multiplication?

    Text Solution

    |

  7. If R(t)=[(cost,si nt),(-si nt,cost)], then R(s)R(t) equals

    Text Solution

    |

  8. If [(alpha,beta),(gamma,-alpha)] is square root of identity matrix of ...

    Text Solution

    |

  9. If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the...

    Text Solution

    |

  10. Find matrices X, if 2X-Y=[(6,-6,0),(-4,2,1)] and X+2Y=[(3,2,5),(-2,1,-...

    Text Solution

    |

  11. If A=[(1,2,8)],B=[(4),(5),(6)], and C=[(0,2,0)] and D=[(5),(2),(4)], t...

    Text Solution

    |

  12. If [(2,0,7),(0,1,0),(1,-2,1)][(-x,14x,7x),(0,1,0),(x,-4x,-2x)]=[(1,0,0...

    Text Solution

    |

  13. If A is involuntary matrix and I is unit matrix of the same order then...

    Text Solution

    |

  14. Suppose a matrix A satisfies A^(2)-5A+7I=0. If A^(8)=aA+bI, find a-b.

    Text Solution

    |

  15. If {:A=[(0,1),(1,0)]:},I is the unit matrix of order 2 and a, b are a...

    Text Solution

    |

  16. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal to...

    Text Solution

    |

  17. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

    Text Solution

    |

  18. If X=[{:(3,-4),(1,-1):}],B=[{:(5,2),(-2,1):}]and A=[{:(p,q),(r,s):}] I...

    Text Solution

    |

  19. If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "underset(...

    Text Solution

    |

  20. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i+j ,...

    Text Solution

    |