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  • Help me solve this - Matrices and Determinants - JEE Main-5

\frac{1}{\sqrt{3}}\begin{bmatrix} 1 & 1+i\\ 1-i &-1 \end{bmatrix} is a

  • Option 1)

    Nilpotent Matrix 

  • Option 2)

    Unitary Matrix 

  • Option 3)

    Symmetric Matrix 

  • Option 4)

    Skew Symmetric Matrix 

 

Answers (1)

best_answer

As we have learned

Unitary matrix -

AA^{\Theta }=I

- wherein

A^{\Theta } is complex conjugate transpose matrix of matrix A and I is identity matrix

 

 A matrix A = [aij]nxn is unitary if AA* = In

 


Option 1)

Nilpotent Matrix 

Option 2)

Unitary Matrix 

Option 3)

Symmetric Matrix 

Option 4)

Skew Symmetric Matrix 

Posted by

prateek

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