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This document contains the solutions to two problems involving matrices and determinants from a past board exam: 1. It is shown that the determinant of a 3x3 matrix D representing a system of linear equations equals p+q+r, where p, q, and r are the variables in the system. 2. For a given 2x2 matrices P and Q, it is proved that (PQ)T = QTPT by showing that the left and right sides of the equation are equal when calculated out.

Author

ruinedfuture858

Language

EN