Home
Class 12
MATHS
If a square matrix A is such that "AA"^(...

If a square matrix A is such that `"AA"^(T)=l=A^(T)A`, then `|A|` is equal to

A

0

B

`+-1`

C

`+-2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 4

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix such that A A^T=I=A^TA , then A is

If A is a square matrix of 3times3 such that |A|=4 Then |3A^(T)| is

if A is a square matrix such that A^(2)=A, then det (A) is equal to

If A square matrix such that A^2 = A , then (l+A )^3 -7A is equal to :

For any square matrix A,A A^(T) is a

If A is a square matrix such that A-A^(T)=0 , then which one of the following is correct ?

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2l =0, then A is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 3-MCQS
  1. The values of theta in (0,(pi)/(2)) satisfying

    Text Solution

    |

  2. If A,B,C,D are (2,3,-1),(3,5,-3),(1,2,3),(3,5,7) respectively, then th...

    Text Solution

    |

  3. If sinA+cosB=a and sinB+cosA=b then sin(A+B)=

    Text Solution

    |

  4. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

    Text Solution

    |

  5. In a class, there are 10 boys and 8 girls. When 3 students are selecte...

    Text Solution

    |

  6. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

    Text Solution

    |

  7. If y=sinx and u=cosx, then (dy)/(du) is equal to

    Text Solution

    |

  8. If the line joining the points (0,3)a n d(5,-2) is a tangent to the cu...

    Text Solution

    |

  9. Evaluate the following integrals: inte^(2x)((1+sin2x)/(1+cos2x))dx

    Text Solution

    |

  10. If a particle is moving the velocity v(t)=cos pit, along a straight li...

    Text Solution

    |

  11. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

    Text Solution

    |

  12. If X and Y are two non-empty sets where f: X->Y,is function is define...

    Text Solution

    |

  13. Let X be a random variable which assumes values x1, x2, x3,\ x4 such t...

    Text Solution

    |

  14. The solution of dy/dx+x=xe^((n-1)y)

    Text Solution

    |

  15. Let X denote the number of times heads occur in n tosses of a fair coi...

    Text Solution

    |

  16. If the mean and the variance of a binomial variable X are 2 and 1 resp...

    Text Solution

    |

  17. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

    Text Solution

    |

  18. The differential equation of all circles passing through the origin...

    Text Solution

    |

  19. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

    Text Solution

    |

  20. If a square matrix A is such that "AA"^(T)=l=A^(T)A, then |A| is equal...

    Text Solution

    |