Home
Class 12
MATHS
the matrix A=[(i,1-2i),(-1-2i,0)], where...

the matrix `A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1,` is

A

symmetric matrix

B

skew-symmetric matric

C

hermitain

D

skew-hermitain

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 4|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

1,1+i,2i,-2+2i,"…."where i= sqrt(-1)

if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is equal to

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=0 where i=sqrt(-1) , the value of |alpha-beta|^(2) is

Verify that the matrix (1)/sqrt3[(1,1+i),(1-i,-1)] is unitary, where i=sqrt-1

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

Express (1+i)^(-1) ,where, i= sqrt(-1) in the form A+iB.

Express A as the sun of a hermitian and skew-hermitian matrix,where A=[(2+3_(i),7),(1-i,2_(i))],i=sqrt-1.

If matrix A=[a_(ij)]_(2xx2) , where a_(ij){:(=1,, "if",, i ne j),(= 0 ,,"if",,i=j):} then A^(2) is equal to

For positive integers n_1,n_2 , the value of the expression : (1+i)^(n_1)+(1+i^3)^(n_1) +(1+i^5)^(n_2)+ (1+i^7)^(n_2) , where i= sqrt(-1) is a real number if and only if :

If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0 , where i=sqrt(-1) , then z bar(z) is equal to

ARIHANT MATHS-MATRICES -Exercise For Session 2
  1. If {:A=[(4,x+2),(2x-3,x+1)]:} is symmetric, then x =

    Text Solution

    |

  2. If A and B are symmetric matrices, then A B A is (a) symmetric m...

    Text Solution

    |

  3. if A and B are symmetric matrices of the same order and P=AB+BA and Q...

    Text Solution

    |

  4. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

  5. If A is symmetric as well as skew-symmetric matrix, then A is

    Text Solution

    |

  6. If A is square matrix order 3, then |(A - A')^2015| is

    Text Solution

    |

  7. Find the maximum number of different elements requried to from a symm...

    Text Solution

    |

  8. A and B are square matrices of order 3xx3 , A is an orthogonal matrix ...

    Text Solution

    |

  9. the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

    Text Solution

    |

  10. if A and B are square matrices of same order such that A*=A and B* = ...

    Text Solution

    |

  11. if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is ...

    Text Solution

    |

  12. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

    Text Solution

    |

  13. If A and B are square matrices of order 3 such that absA = -1, absB = ...

    Text Solution

    |

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

    Text Solution

    |

  15. If I is a unit matrix of order 10, then the determinant of I is equal ...

    Text Solution

    |

  16. If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum(i=1)^(oo) det (A(i...

    Text Solution

    |

  17. The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),...

    Text Solution

    |

  18. For how many values of 'x' in the closed interval [-4,-1] is the matri...

    Text Solution

    |

  19. The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will...

    Text Solution

    |