Home
Class 12
MATHS
If A is order 3 square matrix such that ...

If `A` is order 3 square matrix such that `|A|=2,` then |(adj(adj(adjA)))| is a. `512` b. `256` c. `64` d. none of these

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix of order 3 such that |A|=2 , then |(adjA^(-1))^(-1)| is

If A is a square matrix of order 3 such that |A|=5 , then |Adj(4A)|=

If A is a 2×2 square matrix with |A|=3 then find |3A|

If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1))^(-1)| is ___________.

If A is a 3×3 square matrix with |A|=5 if B=4A^2 then find |B|

if A and B are squares matrices such that A^(2006)=O and A B=A+B , then ,"det"(B) equals a. 0 b. 1 c. -1 d. none of these

If A is a square matrix such that A(adjA)=[(4,0,0),(0,4,0),(0,0,4)], then =(|adj(adjA)|)/(2|adjA|) is equal to

If A is a square matrix of order 3xx3 and lambda is a scalar, then adj (lambdaA) is equal to -

If A is a square matrix of order n such that |a d j(a d jA)|=|A|^9, then the value of n can be 4 b. 2 c. either 4or2 d. none of these

Let A be a square matrix of order 3 such that det. (A)=1/3 , then the value of det. ("adj. "A^(-1)) is

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A=|[1,tanx],[-tanx,1]| , show that A^T\ A^(-1)=|[cos2x,-sin2x],[sin...

    Text Solution

    |

  2. If A is a square matrix of order n such that |a d j(a d jA)|=|A|^9, th...

    Text Solution

    |

  3. If A is order 3 square matrix such that |A|=2, then |(adj(adj(adjA)))|...

    Text Solution

    |

  4. If A^3=O ,t h e nI+A+A^2 equals a.I-A b. (I+A^1)^(-1) c. (I-A)^(-1) d...

    Text Solution

    |

  5. Evaluate int (1)/((x+1)sqrt(x-2))dx.

    Text Solution

    |

  6. (-A)^(-1) is always equal to (where A is nth-order square matrix) a. (...

    Text Solution

    |

  7. The matrix X for which [[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]] is a.[[-2,...

    Text Solution

    |

  8. If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matri...

    Text Solution

    |

  9. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  10. If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 ...

    Text Solution

    |

  11. Let x be the solution set of equation A^x=I ,where A+[(0, 1,-1),(4,-3,...

    Text Solution

    |

  12. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

    Text Solution

    |

  13. Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,...

    Text Solution

    |

  14. Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0,then f(A) is (a)...

    Text Solution

    |

  15. A and B are square matrices and A is non-singular matrix, then (A^(-1)...

    Text Solution

    |

  16. If A is a singular matrix, then adj A is

    Text Solution

    |

  17. The inverse of a diagonal matrix is a. a diagonal matrix              ...

    Text Solution

    |

  18. If P is non-singular matrix, then value of adj(P^(-1)) in terms of P i...

    Text Solution

    |

  19. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

    Text Solution

    |

  20. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

    Text Solution

    |