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If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,...

If `A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)]` then A is

A

symmetric

B

skew symmetric

C

hermitian

D

skew hermitian

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
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  2. If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then A(a...

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  3. If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] then A is

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  4. If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I(3) then x+y=

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  5. If A=((cos^(2)alpha , cos alpha sin alpha),(cos alpha sin alpha, sin^(...

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  7. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

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  8. The number of 2xx2 matrices that can be formed by using 1, 2,3,4 then...

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  9. If A=[a(ij)](n xx n) such that a(ij)=(i+j)^(2) then trace of A is

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  10. If A=[(cos alpha, -sinalpha),(sin alpha, cos alpha)], then A+A^(T)=I, ...

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  11. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

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  15. If A=[(0, x),(y, 0)] and A^(3)+A=O then

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  16. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

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  17. If A, B are two square matrices such that AB=B, BA=A and n in N then...

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  18. If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)...

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  19. Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is ske...

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  20. Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA...

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