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| − | <div style="font-size:30px">'''SIGNATURE'''</div><br/> | + | <div style="font-size:30px">'''MATRIX("SIGNATURE",order)'''</div><br/> |
| | + | *<math>order</math> is the size of the Signature matrix. |
| | + | |
| | + | ==Description== |
| | + | *This function returns the matrix of order 3 with the property of signature matrix. |
| | + | *A signature matrix is a diagonal elements are <math>\pm</math> |
| | + | *So signature matrix is of the form: |
| | + | *Any such matrix is its own inverse, hence is an involutory matrix. |
| | + | *It is consequently a square root of the identity matrix. |
| | + | *Also that not all square roots of the identity are signature matrices. |
| | + | *The signature matrices are both symmetric and involutory,i.e.,they are orthogonal. |
| | + | *Consequently, any linear transformation corresponding to a signature matrix constitutes an isometry. |