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The answer depends on which institution's course the question is about.
yes of course, in one of three waysBy a constant called a scalarOn the left by a matrix with 3 columnsOn the right by a matrix with 2 rows
It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means thatU*U = UU* = I. Where I is the identity matrix.
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