Subspaces & Linear Combination | Linear Algebra #14
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4 سال پیش
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📚About
Subspaces is a fundamental linear algebra and discrete math topic. In this one we'll cover subspaces, linear combinations, column and row spaces, along with many examples for college and high school students.
⏲Outline⏲
00:00 Introduction
01:30 What is a Subspace ?
06:43 Null Space
08:40 Linear Combination
09:22 Span
10:23 Column/Row Space
11:19 Example 1: Case where R^3 is a subspace
14:38 Example 2: Case where R^3 is NOT a subspace
19:20 Outro
📹Previous Lectures📹
Lecture 1: Matrix Arithmetic Matrix Arithmetic | Linear Algebra #1
Lecture 2: Linear Transformations Linear Transformations | Linear Algeb...
Lecture 3: Powers of Matrices with Application to Graph Theory Powers of Matrices with Application t...
Lecture 4: Non-Singular Matrices and Linear Systems Non-Singular Matrices and Linear Syst...
Lecture 5: Matrix Transpose and Symmetric Matrices Matrix Transpose & Symmetric Matrices...
Lecture 6: Introduction to Linear Systems Introduction to Linear Equations | L...
Lecture 7: Solving Square Linear Systems Solving Square Linear Systems | Linea...
Lecture 8: Gaussian Elimination Gaussian Elimination | Linear Algebra #8
Lecture 9: Systematic Solution of Linear Systems Systematic Solution of Linear Systems...
Lecture 10: Matrix Inverse by Gaussian Elimination Matrix Inverse by Gaussian Eliminatio...
Lecture 11: Homogenous System Homogenous System | Linear Algebra #11
Lecture 12: Truss Analysis: Application of Linear Systems Homogenous System | Linear Algebra #11
Lecture 13: Electrical Circuits Electrical Circuit Analysis: Applicat...
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#Subspace #LinearAlgebra #OpenSource
📚About
Subspaces is a fundamental linear algebra and discrete math topic. In this one we'll cover subspaces, linear combinations, column and row spaces, along with many examples for college and high school students.
⏲Outline⏲
00:00 Introduction
01:30 What is a Subspace ?
06:43 Null Space
08:40 Linear Combination
09:22 Span
10:23 Column/Row Space
11:19 Example 1: Case where R^3 is a subspace
14:38 Example 2: Case where R^3 is NOT a subspace
19:20 Outro
📹Previous Lectures📹
Lecture 1: Matrix Arithmetic Matrix Arithmetic | Linear Algebra #1
Lecture 2: Linear Transformations Linear Transformations | Linear Algeb...
Lecture 3: Powers of Matrices with Application to Graph Theory Powers of Matrices with Application t...
Lecture 4: Non-Singular Matrices and Linear Systems Non-Singular Matrices and Linear Syst...
Lecture 5: Matrix Transpose and Symmetric Matrices Matrix Transpose & Symmetric Matrices...
Lecture 6: Introduction to Linear Systems Introduction to Linear Equations | L...
Lecture 7: Solving Square Linear Systems Solving Square Linear Systems | Linea...
Lecture 8: Gaussian Elimination Gaussian Elimination | Linear Algebra #8
Lecture 9: Systematic Solution of Linear Systems Systematic Solution of Linear Systems...
Lecture 10: Matrix Inverse by Gaussian Elimination Matrix Inverse by Gaussian Eliminatio...
Lecture 11: Homogenous System Homogenous System | Linear Algebra #11
Lecture 12: Truss Analysis: Application of Linear Systems Homogenous System | Linear Algebra #11
Lecture 13: Electrical Circuits Electrical Circuit Analysis: Applicat...
🔴 Subscribe for more videos on Linear Algebra and Discrete Math.
👍 Smash that like button, in case you find this tutorial useful.
👁🗨 Speak up and comment, I am all ears.
●▬▬▬▬▬▬▬๑۩۩๑▬▬▬▬▬▬▬▬●
_****╔═╦╗╔╦╗╔═╦═╦╦╦╦╗╔═╗**** _
_****║╚╣║║║╚╣╚╣╔╣╔╣║╚╣═╣**** _
_****╠╗║╚╝║║╠╗║╚╣║║║║║═╣**** _
_****╚═╩══╩═╩═╩═╩╝╚╩═╩═╝**** _
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#Subspace #LinearAlgebra #OpenSource
4 سال پیش
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