Answer to Question #219872 in Linear Algebra for Dhruv bartwal

Question

Can [ i ] be a column of a unitary matrix?
[-i ]
Justify your answer

Answer 1

Answer:-

Yes we can say that [i] can be a column at a unitary matrix as if we choose $1 \times 1$ matrix. I.e i=j, meaning that row = column.

So in this case we can say that [i] as a column of a unitary matrix.

And also

Consequently, yes, [-i] can be the column at the unitary matrix as if we choose the  $1 \times 1$ matrix. That is -i=-j, meaning that the row = column.

So in this case we can say that [-i] as a column of a unitary matrix.