Home
Class 12
MATHS
If A=[(-i,0),(0,i)] then A^(T)A is equ...

If `A=[(-i,0),(0,i)]` then `A^(T)A` is equal to -

A

A

B

`-A`

C

`I`

D

`-I`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If i=sqrt(-1),P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to -

If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equal to a. 0I b. 2I c. 6I d. I

Let Z_0 is the root of equation x^2+x+1=0 and Z=3+6i(Z_0)^(81)-3i(Z_0)^(93) Then arg (Z) is equal to (a) (pi)/(4) (b) (pi)/(3) (c) pi (d) (pi)/(6)

If x<0,t h e ntan^(-1)x is equal to

If I=int_0^(pi/4)log(1+tanx) dx then I is equal to

If A=[[cos theta , sin theta],[sin theta,-costheta]], B = [[1,0],[-1,1]], C=ABA^(T), then A^(T) C^(n) A, n in I^(+) equals to

If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b) (b) sqrt(|a|b)i (c) sqrt(|a|b) (d) none of these

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

if A=[[i,0] , [0,i]] where i=sqrt(-1) and x in N then A^(4x) equals to:

Let, I=({:(1,0,0),(0,1,0),(0,0,1):}) " and " P=({:(1,0,0),(0,-1,0),(0,0,-2):}) . Then the matrix P^(3)+2P^(2) is equal to -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

    Text Solution

    |

  2. If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no so...

    Text Solution

    |

  3. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

    Text Solution

    |

  4. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  5. The value of the determinant |(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)...

    Text Solution

    |

  6. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  7. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  8. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  9. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  10. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  11. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  12. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  13. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  14. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  15. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  16. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  17. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  18. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  19. A real valued function f(x) stisfies the functional relation f(x-y)=f(...

    Text Solution

    |

  20. The probability of having a king and a queen when two cards are drawn ...

    Text Solution

    |