Once you have a matrix representation of any group, a 1-D representation can be obtained by taking the determinants of the matrices. Show that the multiplicative relations are preserved in this determinant representation. (a) (b) Use determinants to obtain a 1-D representation of D3 from the 2 x 2 representa- tion in Eq. (17.2).

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A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

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A: a)