Question: Derive the following relations using indicial notation (where A, B, C, and X are matrices, and where A, B, and C are constants and do

Derive the following relations using indicial notation (where A, B, C, and X are matrices, and where A, B, and C are constants and do not depend on X):

1. X(tr(AX))=AT 2. X(tr(XA))=AT 3. X(tr(AXB))=ATBT 4. X(tr(BAX))=ATBT 5. X(tr(AXBXTC))=ATCTXBT+CAXB 1. X(tr(AX))=AT 2. X(tr(XA))=AT 3. X(tr(AXB))=ATBT 4. X(tr(BAX))=ATBT 5. X(tr(AXBXTC))=ATCTXBT+CAXB

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