18.700 2005秋季课程：线性代数(Linear Algebra, Fall 2005)
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数学家Camille Jordan照片上的Jordan块状矩阵。（图片由麻省理工开放式课程提供，底图来自Wikimedia Commons）
A Jordan block matrix superimposed on an image of the mathematician Camille Jordan. (Image courtesy of MIT OCW. Based on an image from Wikimedia Commons.)
A Jordan block matrix superimposed on an image of the mathematician Camille Jordan. (Image courtesy of MIT OCW. Based on an image from Wikimedia Commons.)
课程重点
此课程的特色是提供相关阅读资料、研习资料和完整的考题。
This course features readings, study materials, and a complete set of exams.
课程描述
此课程提供了对线性代数严谨的处理，包括向量空间、线性方程组、基底、线性独立、矩阵、行列式、特征值、内积、二次式、和矩阵的标准型式。相较之线性代数（18.06），本堂课更注重于定理及其证明。
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with Linear Algebra (18.06), more emphasis is placed on theory and proofs.
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with Linear Algebra (18.06), more emphasis is placed on theory and proofs.
（译注：eigenspace、eigenvector和eigenvalue有翻成特征空间、特征向量、特征值，也有翻成固有空间、固有向量、固有值。以下皆用特征空间、特征向量和特征值。）
