Become a Linear Algebra Master
- Descrição
- Currículo
- FAQ
- Revisões
HOW BECOME A LINEAR ALGEBRA MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:
This 247-lesson course includes video and text explanations of everything from Linear Algebra, and it includes 69 quizzes (with solutions!) and an additional 12 workbooks with extra practice problems, to help you test your understanding along the way. Become a Linear Algebra Master is organized into the following sections:
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Operations on one matrix, including solving linear systems, and Gauss-Jordan elimination
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Operations on two matrices, including matrix multiplication and elimination matrices
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Matrices as vectors, including linear combinations and span, linear independence, and subspaces
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Dot products and cross products, including the Cauchy-Schwarz and vector triangle inequalities
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Matrix-vector products, including the null and column spaces, and solving Ax=b
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Transformations, including linear transformations, projections, and composition of transformations
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Inverses, including invertible and singular matrices, and solving systems with inverse matrices
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Determinants, including upper and lower triangular matrices, and Cramer’s rule
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Transposes, including their determinants, and the null (left null) and column (row) spaces of the transpose
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Orthogonality and change of basis, including orthogonal complements, projections onto a subspace, least squares, and changing the basis
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Orthonormal bases and Gram-Schmidt, including definition of the orthonormal basis, and converting to an orthonormal basis with the Gram-Schmidt process
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Eigenvalues and Eigenvectors, including finding eigenvalues and their associate eigenvectors and eigenspaces, and eigen in three dimensions
AND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:
Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning… I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.
Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.
Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.
Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.
HERE’S WHAT SOME STUDENTS OF BECOME A LINEAR ALGEBRA MASTER HAVE TOLD ME:
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“Another fantastic course. Provides an academic foundation of linear algebra to prepare for applied or programming-based courses.” – Christopher C.
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“I have no words to thank Krista for this amazing course, I was really overwhelmed because I had to take a test for a class I couldn’t attend and I didn’t know anything about linear algebra and surprisingly this course was what I needed, reading the notes before watching the video helped to understand by myself and when I was lost the video content was a great resource, I got a 9 out of 10 in the test, so I highly recommend to take this course, Krista is such a good teacher.” – Alan M.
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“I started out as a math major in college, and dropped my major during linear algebra. I wish I had this class and this instructor in college. I might have stuck with my major.” – Eric L.
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“Notes are great, explanations are clear and starting from the beginning. Terrific so far.” – Phil T.
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“Very clear and has not skipped any steps. If the rest of the course is like this, I will pass my class with no problem.” – Brandon P.
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“Really well structured and well explained, and there are plenty of exercises to reinforce the knowledge.” – Ashfaque C.
YOU’LL ALSO GET:
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Lifetime access to Become a Linear Algebra Master
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Friendly support in the Q&A section
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Udemy Certificate of Completion available for download
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30-day money back guarantee
Enroll today!
I can’t wait for you to get started on mastering Linear Algebra.
– Krista 🙂
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5Introduction to operations on one matrixVídeo Aula
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6RESOURCE: Quiz solutions for this sectionTexto
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7Linear systems in two unknownsTexto
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8Linear systems in two unknownsVídeo Aula
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9Linear systems in two unknownsQuestionário
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10Linear systems in three unknownsTexto
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11Linear systems in three unknownsVídeo Aula
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12Linear systems in three unknownsQuestionário
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13Matrix dimensions and entriesTexto
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14Matrix dimensions and entriesVídeo Aula
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15Matrix dimensions and entriesQuestionário
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16Representing systems with matricesTexto
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17Representing systems with matricesVídeo Aula
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18Representing systems with matricesQuestionário
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19Simple row operationsTexto
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20Simple row operationsVídeo Aula
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21Simple row operationsQuestionário
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22Pivot entries and row-echelon formsTexto
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23Pivot entries and row-echelon formsVídeo Aula
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24Pivot entries and row-echelon formsQuestionário
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25Gauss-Jordan eliminationTexto
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26Gauss-Jordan eliminationVídeo Aula
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27Gauss-Jordan eliminationQuestionário
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28Number of solutions to the linear systemTexto
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29Number of solutions to the linear systemVídeo Aula
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30Number of solutions to the linear systemQuestionário
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31BONUS! Extra practice problems. :)Texto
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32Introduction to operations on two matricesVídeo Aula
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33RESOURCE: Quiz solutions for this sectionTexto
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34Matrix addition and subtractionTexto
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35Matrix addition and subtractionVídeo Aula
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36Matrix addition and subtractionQuestionário
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37Scalar multiplicationTexto
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38Scalar multiplicationVídeo Aula
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39Scalar multiplicationQuestionário
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40Zero matricesTexto
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41Zero matricesVídeo Aula
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42Zero matricesQuestionário
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43Matrix multiplicationTexto
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44Matrix multiplicationVídeo Aula
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45Matrix multiplicationQuestionário
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46Identity matricesTexto
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47Identity matricesVídeo Aula
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48Identity matricesQuestionário
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49The elimination matrixTexto
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50The elimination matrixVídeo Aula
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51The elimination matrixQuestionário
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52BONUS! Extra practice problems. :)Texto
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53Introduction to matrices as vectorsVídeo Aula
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54RESOURCE: Quiz solutions for this sectionTexto
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55VectorsTexto
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56VectorsVídeo Aula
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57VectorsQuestionário
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58Vector operationsTexto
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59Vector operationsVídeo Aula
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60Vector operationsQuestionário
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61Unit vectors and basis vectorsTexto
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62Unit vectors and basis vectorsVídeo Aula
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63Unit vectors and basis vectorsQuestionário
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64Linear combinations and spanTexto
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65Linear combinations and spanVídeo Aula
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66Linear combinations and spanQuestionário
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67Linear independence in two dimensionsTexto
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68Linear independence in two dimensionsVídeo Aula
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69Linear independence in two dimensionsQuestionário
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70Linear independence in three dimensionsTexto
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71Linear independence in three dimensionsVídeo Aula
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72Linear independence in three dimensionsQuestionário
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73Linear subspacesTexto
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74Linear subspacesVídeo Aula
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75Linear subspacesQuestionário
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76Spans as subspacesTexto
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77Spans as subspacesVídeo Aula
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78Spans as subspacesQuestionário
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79BasisTexto
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80BasisVídeo Aula
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81BasisQuestionário
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82BONUS! Extra practice problems. :)Texto
