Introduction to Linear Algebra
Introduction to Linear Algebra MATH 3130
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This 1 page Class Notes was uploaded by Cydney Conroy on Thursday October 29, 2015. The Class Notes belongs to MATH 3130 at University of Colorado at Boulder taught by Staff in Fall. Since its upload, it has received 28 views. For similar materials see /class/231826/math-3130-university-of-colorado-at-boulder in Mathematics (M) at University of Colorado at Boulder.
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Date Created: 10/29/15
Language and Theorems for the Final Exam MATH 3130300 Summer 2007 One of the things that I hope you all take away from this course is a uent understanding of the language of linear algebra To that end7 you are expected to be able to recite the de nitions for the following terms as well as the statements of the following theorems Keep in mind that you are also expected to have a 77working understanding of everything that we have covered Term Location Comments subspace pg 220 spanv17 7V1 pg 221 null space pg 226 column space pg 229 linear transformation pg 232 linear independence pg 237 basis pg 238 dimension pg 257 eigenvector eigenvalue pg 303 inner product pg 428 orthogonal vectors pg 429 Theorem Location Comments Theorem 4 pg 194 also known as the Determinant Invertibility Criterion Spanning Set Theorem pg 239 also known as the Trimming Down Theorem Unique Representation Theorem pg 246 Theorem 11 pg 259 also known as the Building Up Theorem Diagonalization Theorem pg 320 You will not be expected to recite the second half of this theorem ie you may ignore 77In fact7 Orthogonal Decomposition Theo pg 395 You will not be expected to recite the second half of rem this theorem ie you may ignore 77In fact7 Cauchy Schwarz Inequality pg 432 Triangle Inequality pg 433