18.700 2005秋季課程：線性代數(Linear Algebra, Fall 2005)
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數學家Camille Jordan照片上的Jordan塊狀矩陣。（圖片由麻省理工開放式課程提供，底圖來自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.)
課程重點
此課程的特色是提供相關閱讀資料、研習資料和完整的考題。
This course features readings, study materials, and a complete set of exams.
課程描述
此課程提供了對線性代數嚴謹的處理，包括向量空間、線性方程組、基底、線性獨立、矩陣、行列式、特徵值、內積、二次式、和矩陣的標準型式。相較之線性代數（18.06），本堂課更注重於定理及其證明。
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.
（譯注：eigenspace、eigenvector和eigenvalue有翻成特徵空間、特徵向量、特徵值，也有翻成固有空間、固有向量、固有值。以下皆用特徵空間、特徵向量和特徵值。）
