Titlebook: Linear Algebra Through Geometry; Thomas Banchoff,John Wermer Textbook 1992Latest edition Springer-Verlag New York, Inc. 1992 Eigenvalue.Li

水土

flaunt

腐蚀

Undergraduate Texts in Mathematicshttp://image.papertrans.cn/l/image/586264.jpg

Decongestant

Directed

reserve

Symmetric Matrices, in 3 dimensions is symmetry about the diagonal. We say that a matrix is . if the entry in the .th position in the .th column is the same as the entry in the .th position in the .th column, i.e., . = . for all .,

不利

Classification of Quadric Surfaces,ond degree; for example,.The general form of the equation of a quadric surface is. where the coefficients ., and . are constants. We would like to predict the shape of the quadric surface in terms of the coefficients, much in the same way that we described a conic section in terms of the coefficients of an equation. in two variables.

Aggressive

,Vector Geometry in ,-Space, , ≥ 4,dimensions. What begins as an alternative way of treating problems in analytic geometry becomes a powerful tool for investigating increasingly complicated phenomena, such as eigenvectors or quadratic forms, which would be difficult to approach otherwise.

卜闻

MUTED

Transformations of the Plane,Recall the notion of a “function.” A function is a rule which assigns to each number some number. This suggests the following definition: . is a rule which assigns to each vector in the plane some vector in the plane.