Master the Basis for a Null Space and a Column Space | Steps and Examples

In this video, we dive into two important concepts in linear algebra: the basis for a null space and the basis for a column space. We explore the definitions and walk through example problems to solidify your understanding. Learn the step-by-step process to find a basis for both the null space and column space of a matrix. This video is perfect for engineering students and anyone preparing for exams in linear algebra. Get clear explanations and practical examples to master these essential concepts!

*Link to Guided Notes*
Free downloadable pdf of guided notes that will help you follow along with the video and use later to review what you learned.

_Linear Equations in Linear Algebra:_

_Matrix Algebra:_

_Determinants_

_Vector Spaces_

_Eigenvalues and Eigenvectors_

_Orthogonality and Least Squares_

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*Timestamps*
00:00 Introduction
00:24 Basis for a Null Space
01:23 Null Space Basis Example
04:22 Basis for a Column Space
05:07 Column Space Basis Example

*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.

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