Home
Class 12
MATHS
If A is a non singular square matrix of ...

If A is a non singular square matrix of order n, then what is `abs(adj A)`?

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Let A be the non singular square matrix of order 3 times 3 then prove that |adj (A)|=|A|^2

IfA is annon singular matrix ofsize 3 //3 then what is adj. (adjA) ?

If A is a square matrix of order 2, then find det(adjA) .

If A is a singular matrix, then what is A(adjA) ?

If A is an invertible matrix of order 2, then find det(A^(-1)) .

If A is a square matrix of order 3 and |A|=3 ,then write the matrix represented by A.Adj A.

If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is represented by AxxadjA ?

If A and B are square matrices of same order, then show by means of an example that AB ne BA in general.

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Fill in the blank choosing correct answer from the brackets cot^(-1)[(...

    Text Solution

    |

  2. What is the symmetric form of the equation of z-axis ?

    Text Solution

    |

  3. If A is a non singular square matrix of order n, then what is abs(adj ...

    Text Solution

    |

  4. Answer any three questions if hat(a), hat(b) and hat(c ) are unit ve...

    Text Solution

    |

  5. If A is a symmetric matrix, then A- A is both symmetric and skew symme...

    Text Solution

    |

  6. If f(x)={(x,0lexle1),(2-x,1lexle2):}, then what is the value of int0^2...

    Text Solution

    |

  7. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

    Text Solution

    |

  8. Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...

    Text Solution

    |

  9. Minimize:Z=6x1+7x2 "Subject to":x1+2x2 ge 4 x1,x2 ge 0

    Text Solution

    |

  10. If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...

    Text Solution

    |

  11. Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.

    Text Solution

    |

  12. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

    Text Solution

    |

  13. Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...

    Text Solution

    |

  14. If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.

    Text Solution

    |

  15. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

    Text Solution

    |

  16. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

    Text Solution

    |

  17. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

    Text Solution

    |

  18. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

    Text Solution

    |

  19. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

    Text Solution

    |

  20. Find Integrating factor of:(x logx)dy/dx+y=2logx

    Text Solution

    |