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Linear algebra of engineering mathematics 1. How to find vectors with the same coordinates in different bases (for example) 2. The eigenvalue of matrix A is complete.
1, let (A 1, A2, ..., An) and (B 1, B2, ..., BN) be two sets of bases of r n, the transfer matrix is p, and the coordinates of vector a are all x, then (A 1,

Since the coordinate uniqueness PX=X, x can be obtained by solving the equation (P-E)X=0.

2.a must be quadratic to be diagonalized into a positive definite matrix.

3. According to the structure theorem of the solution of linear equations, it is too basic and abbreviated.