Civil Engineering (CE) Exam > Civil Engineering (CE) Videos > Engineering Mathematics > Subspace Theorems & Examples - Linear Algebra
Subspace Theorems & Examples - Linear Algebra Video Lecture | Engineering Mathematics - Civil Engineering (CE)
This video is part of 65 videos|122 docs|94 tests | Join course for free |
|
65 videos|122 docs|94 tests
|
FAQs on Subspace Theorems & Examples - Linear Algebra Video Lecture - Engineering Mathematics - Civil Engineering (CE)
| 1. What are the subspace theorems in linear algebra? |  |
| 2. Can you provide an example of a subspace? | |
Ans. Yes, an example of a subspace is the set of all vectors in three-dimensional space that lie on a plane passing through the origin. This subset satisfies the conditions of a subspace as it contains the zero vector, is closed under vector addition, and is closed under scalar multiplication.
| 3. How can subspace theorems be applied in real-world scenarios? | |
Ans. Subspace theorems have various applications in real-world scenarios. For example, in physics, the concept of subspaces is used to represent different degrees of freedom in systems. In computer graphics, subspaces are used to represent transformations and rotations in three-dimensional space.
| 4. What happens if a subset does not satisfy the conditions of a subspace? | |
Ans. If a subset does not satisfy the conditions of a subspace, it cannot be considered a subspace. For example, if a subset does not contain the zero vector, it cannot be a subspace. Similarly, if a subset is not closed under vector addition or scalar multiplication, it does not meet the requirements of a subspace.
| 5. Are subspaces unique for a given vector space? | |
Ans. No, subspaces are not unique for a given vector space. A vector space can have multiple subspaces, each satisfying the conditions of a subspace. The number and nature of subspaces depend on the properties of the vector space itself.
Related Exams
About this Video
4.65/5
Rating
Mar 27, 2025
Last updated
Video Description: Subspace Theorems & Examples - Linear Algebra for Civil Engineering (CE) 2025 is part of Engineering Mathematics preparation.
The notes and questions for Subspace Theorems & Examples - Linear Algebra have been prepared according to the Civil Engineering (CE) exam syllabus.
Information about Subspace Theorems & Examples - Linear Algebra covers all important topics for Civil Engineering (CE) 2025 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Subspace Theorems & Examples - Linear Algebra.
Introduction of Subspace Theorems & Examples - Linear Algebra in English is available as part of our Engineering Mathematics for Civil Engineering (CE) & Subspace Theorems & Examples - Linear Algebra in
Hindi for Engineering Mathematics course. Download more important topics related with notes, lectures and mock test series for
Civil Engineering (CE) Exam by signing up for free.
Description
Video Lecture & Questions for Subspace Theorems & Examples - Linear Algebra Video Lecture | Engineering Mathematics - Civil Engineering (CE) - Civil Engineering (CE) full syllabus preparation | Free video for Civil Engineering (CE) exam to prepare for Engineering Mathematics.
Information about Subspace Theorems & Examples - Linear Algebra
Here you can find the meaning of Subspace Theorems & Examples - Linear Algebra defined & explained in the simplest way possible.
Besides explaining types of Subspace Theorems & Examples - Linear Algebra theory, EduRev gives you an ample number of questions to practice Subspace Theorems & Examples - Linear Algebra tests,
examples and also practice Civil Engineering (CE) tests.
Related Searches
ppt
,Objective type Questions
,Sample Paper
,Important questions
,Extra Questions
,MCQs
,Viva Questions
,Exam
,Semester Notes
,Subspace Theorems & Examples - Linear Algebra Video Lecture | Engineering Mathematics - Civil Engineering (CE)
,video lectures
,Summary
,Free
,shortcuts and tricks
,mock tests for examination
,study material
,Subspace Theorems & Examples - Linear Algebra Video Lecture | Engineering Mathematics - Civil Engineering (CE)
,practice quizzes
,Previous Year Questions with Solutions
,past year papers
,Subspace Theorems & Examples - Linear Algebra Video Lecture | Engineering Mathematics - Civil Engineering (CE)
;
Study Subspace Theorems & Examples - Linear Algebra on the App
Students of Civil Engineering (CE) can study Subspace Theorems & Examples - Linear Algebra alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Subspace Theorems & Examples - Linear Algebra,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Subspace Theorems & Examples - Linear Algebra is prepared as per the latest Civil Engineering (CE) syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup