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목록appliedmathematics (1)
Wiredwisdom
The geometry of eigenvalues and eigenvectors
First, we need to understand what eigenvalues and eigenvectors are. When a matrix is given, what do its eigenvalues and eigenvectors geometrically signify? It is important to recognize that the columns of the matrix represent the directions of the axes in the basic coordinate system when the matrix is multiplied.Let's look at the figure below. The unit length of 1 along the x and y axes in the..
MATH/Linear Algebra
2024. 1. 20. 08:07