Mathematics for postgraduate entrance examination, although the topic may be ever-changing and very flexible, actually there are some fixed problem-solving methods and thinking that can be used universally. Next, New Oriental Online summarizes eight kinds of inertial thinking in solving linear algebra problems. As long as you see similar problems, at least you know where to solve them. 20 17 Postgraduate Mathematics: Eight Inertial Thinking in Solving Linear Algebra Problems 1. If the condition of the problem is related to the algebraic cofactor Aij or A*, it is immediately related to the row (column) theorem of determinant and A * = A * A = | A | E.2. If it involves whether A and B are interchangeable, that is, AB=BA, it is immediately associated with the definition of inverse matrix for analysis. 3. If the n-order square matrix A satisfies f(A)=0, to prove the reversibility of aA+bE, first decompose the factor aA+bE. 4. To prove that a set of vectors a 1, a2, …, as are linearly independent, consider using definitions first. 5. If AB=0 is known, take each column of B as the solution of Ax=0. 6. If the parameters are determined according to the requirements of the topic, then think about whether there is a determinant that is zero. 7. If the eigenvector ζ0 of A is known, firstly, it is treated by defining ζ 0 = λ 0 ζ 0. 8. If we want to prove that the abstract N-order real symmetric matrix A is a positive definite matrix, we should use the definition to deal with it.