Home
Class 12
MATHS
If A=[(a, b, c), (x, y, z), (p, q, r)], ...

If `A=[(a, b, c), (x, y, z), (p, q, r)], B=[(q,-b, y),(-p, a,-x),(r,-c, z)]` and if `A` is invertible, then which of the following is not true? (a) `|A|=|B|` (b) `|A|=-|B|` (c) `|adj A|=|adj B|` (d) `A` is invertible if and only if `B` is invertible

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 (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then which of the following is/are true?

|{:(a,b,c),(x,y,z),(p,q,r):}|=|{:(x,y,z),(p,q,r),(a,b,c):}|=|{:(y,b,q),(x,a,p),(z,c,r):}|

If A and B are two invertible matrices of the same order, then adj (AB) is equal to -

If A and B are two invertible matrices of the same order, then adj (AB) is equal to

Show that abs((a,b,c),(a+2x,b+2y,c+2z),(x,y,z)) =0

If a, b, c be in A.P. and x, y, z be in G.P., prove that, x^(b-c).y^(c-a).z^(a-b) = 1 .

If A,B,C are three square matrices of the same order, then A B=A C => B=Cdot Then |A|!=0 b. A is invertible c. A may be orthogonal d. is symmetric

|{:(" "a," "b," "c),(" "a+2x," "b+2y," "c+2z),(" "x," "y," "z):}|

If a^(x) = b^(y) = c^(z) and a, b, c, are in G.P., prove that x, y, z are in H.P.

If x = a - (1)/(a), y = b - (1)/(b) and z = c - (1)/(c ) and a, b, c are in G.P., then show that (x+z)/(y) = r + (1)/(r ) , where r is the common ratio of the G.P.

CENGAGE PUBLICATION-MATRICES-All Questions
  1. if A and B are squares matrices such that A^(2006)=O and A B=A+B , the...

    Text Solution

    |

  2. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

    Text Solution

    |

  3. If A=[(a, b, c), (x, y, z), (p, q, r)], B=[(q,-b, y),(-p, a,-x),(r,-c,...

    Text Solution

    |

  4. If A and B are two non-singular matrices such that A B=C ,t h e n,|B| ...

    Text Solution

    |

  5. If A(alpha,beta)=[cosalphas inalpha0-s inalphacosalpha0 0 0e^(beta)],t...

    Text Solution

    |

  6. If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ...

    Text Solution

    |

  7. Statement 1: A=[(4,0,4),(2,2,2), (1,2,1)] B^(-1)=[(1,3,3),(1,4,3),(1,3...

    Text Solution

    |

  8. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

    Text Solution

    |

  9. Statement 1: if a ,b ,c ,d are real numbers and A=[a b c d]a n dA^3=O ...

    Text Solution

    |

  10. A 3xx3 matrix given as, a(i j)=(i-j)/(i+2j) cannot be expressed as a s...

    Text Solution

    |

  11. Statement 1: If A ,B ,C are matrices such that |A(3xx3)|=3,|B(3xx3)|=-...

    Text Solution

    |

  12. Statement 1: For a singular square matrix A ,A B=A C B=Cdot Statemen...

    Text Solution

    |

  13. Statement 1: The inverse of singular matrix A=([a(i j)])(nxxn), \ w h ...

    Text Solution

    |

  14. Show that : The determinant of a matrix A=([a(i j)])(5xx5) where a(i j...

    Text Solution

    |

  15. If A=[1 2 2 1]a n df(x)=(1+x)/(1-x),t h e nf(A) is [1 1 1 1] b. [2 2 ...

    Text Solution

    |

  16. Id [(1/25, 0), (x,1/25)]=[(5, 0), (-a, 5)]^(-2) , then the value of x ...

    Text Solution

    |

  17. If A=|[1,tanx],[-tanx,1]| , show that A^T\ A^(-1)=|[cos2x,-sin2x],[sin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |