Home
Class 12
MATHS
If A is a square matrix and |A| = 2 then...

If A is a square matrix and |A| = 2 then `|A|^n` = ………. . Where n is positive integer.

A

0

B

2n

C

`2^n`

D

`n^2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice work|34 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|17 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Work|90 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-D)|2 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix and A^2=A" then |A|=……..

If A is a square matrix such that A^2 =A then (I+A)^2 -7A =……

If A is a square matrix then A - A' is a …… matrix.

If A is any square matrix then AA' is a ………. Matrix.

Find the sum of : the first n positive integers

Prove that 2^n gt n for all positive integers n.

If a and b are distinct integers, prove that a-b is a factor of a^n - b^n , whenever n is a positive integer.

if A =[(3,-4),( 1,-1)] then prove that A^n = [ ( 1+2n, -4n),( n,1-2n)] where n is any positive integer .

if A =[(3,-4),( 1,-1)] then prove that A^n = [ ( 1+2n, -4n),( n,1-2n)] where n is any positive integer .

KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs
  1. The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero...

    Text Solution

    |

  2. If Delta1=|{:(x,b,b),(a,x,b),(a,a,x):}|and Delta2=|{:(x,b),(a,x):}| ar...

    Text Solution

    |

  3. If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is pos...

    Text Solution

    |

  4. If A is a square matrix and A^2=A" then |A|=……..

    Text Solution

    |

  5. |{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..

    Text Solution

    |

  6. |{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......

    Text Solution

    |

  7. The value of |{:(2008,2009),(2010,2011):}| is …..

    Text Solution

    |

  8. |{:(x,1,y+z),(y,1,z+x),(z,1,x+y):}|=.......

    Text Solution

    |

  9. |{:(sin40^@,-cos40^@),(sin50^@,cos50^@):}|=.......

    Text Solution

    |

  10. If D=|{:(2,3,1),(5,-1,2),(7,4,-1):}| , performing R(12(-1) on D then D...

    Text Solution

    |

  11. |{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......

    Text Solution

    |

  12. If D1=|{:(1,yz,x),(1,zx,y),(1,xy,z):}|and D2=|{:(1,1,1),(x,y,z),(x^2,y...

    Text Solution

    |

  13. If ane0,bne0,cne0 and |{:(0,x^2+a,x^4+b),(x^2-a,0,x-c),(x^3-b,x^2+c,0)...

    Text Solution

    |

  14. If x,y,z in R. xgtygtz and D= |{:((x+1)^2,(y+1)^2,(z+1)^2),(x,y,z),(...

    Text Solution

    |

  15. If A = [( 1, cos theta , 1,),( - cos theta ,1,cos theta ),( -1 , - cos...

    Text Solution

    |

  16. If |{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}|=0 and ax^2+2abxy+cy^2...

    Text Solution

    |

  17. If |{:(1,2,5),(1,x,5),(3,-1,2):}|=0 then x = ………

    Text Solution

    |

  18. Solve that |{:(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x):}|=0

    Text Solution

    |

  19. If |{:(x,-6,-1),(2,-3x,x-3),(-3,2x,x+2):}|=0 then x = ……..

    Text Solution

    |

  20. |{:(sqrt(14)+sqrt3,sqrt(20),sqrt5),(sqrt(15)+sqrt(28),sqrt(25),sqrt(10...

    Text Solution

    |