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Introduction of transfer matrix:
The transfer matrix is a reversible linear transformation between bases. There may be different bases in a space V. Suppose there are two groups of bases, namely A and B.. The transfer matrix p from base a to base b is defined as P=Mat_A(B). For this matrix, there is a relationship B=AP. It represents the relationship between bases.
The concept of linear algebra;
Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and linear equations with finite dimensions. Vector space is an important subject in modern mathematics.