1-3 What is the "rank" ? | Special Lecture at UTokyo "Linear Algebra" | UTokyo Channel

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Information Science and Technology

Special Lecture at UTokyo "Linear Algebra"

1-3 What is the "rank" ?

Information Science and Technology

Special Lecture at UTokyo "Linear Algebra"

1-3 What is the "rank" ?

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Lecturer

MathWorks Professor of Mathematics, Massachusetts Institute of Technology

※Affiliations and positions are as of the time of recording.

Special Lecture at UTokyo "Linear Algebra"

Content List

Lecture Note (pdf)

1-1 Importance of Linear Algebra

1-2 Two ways of understanding　a matrix times a vector

1-3 What is the "rank" ?

1-4 Applications of Linear Algebra

1-5 Five great problems of Linear Algebra or factorization of matrix

1-6 Factorization of symmetric matrix

1-7 Elimination to solve Ax=b

1-8 Gram-Schmidt method

1-9 Eigen values and Eigen vectors

1-10 Application of Eigen vector : Markov Process

1-11 Computing Linear Algebra

1-12 Linear Algebra #1 in MIT OCW

2-1 Importance of Linear Algebra

2-2 Rank of Matrix

2-3 Singular Values

2-4 Matrices of Data and Singular Values

Lecture Note (pdf)

1-1 Importance of Linear Algebra

1-2 Two ways of understanding　a matrix times a vector

1-3 What is the "rank" ?

1-4 Applications of Linear Algebra

1-5 Five great problems of Linear Algebra or factorization of matrix

1-6 Factorization of symmetric matrix

1-7 Elimination to solve Ax=b

1-8 Gram-Schmidt method

1-9 Eigen values and Eigen vectors

1-10 Application of Eigen vector : Markov Process

1-11 Computing Linear Algebra

1-12 Linear Algebra #1 in MIT OCW

2-1 Importance of Linear Algebra

2-2 Rank of Matrix

2-3 Singular Values

2-4 Matrices of Data and Singular Values

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HOME
Special Lecture at UTokyo "Linear Algebra"
1-3 What is the "rank" ?

Special Lecture at UTokyo "Linear Algebra"

Content List

Lecture Note (pdf)

1-1 Importance of Linear Algebra

1-2 Two ways of understanding　a matrix times a vector

1-3 What is the "rank" ?

1-4 Applications of Linear Algebra

1-5 Five great problems of Linear Algebra or factorization of matrix

1-6 Factorization of symmetric matrix

1-7 Elimination to solve Ax=b

1-8 Gram-Schmidt method

1-9 Eigen values and Eigen vectors

1-10 Application of Eigen vector : Markov Process

1-11 Computing Linear Algebra

1-12 Linear Algebra #1 in MIT OCW

2-1 Importance of Linear Algebra

2-2 Rank of Matrix

2-3 Singular Values

2-4 Matrices of Data and Singular Values

Lecture Note (pdf)

1-1 Importance of Linear Algebra

1-2 Two ways of understanding　a matrix times a vector

1-3 What is the "rank" ?

1-4 Applications of Linear Algebra

1-5 Five great problems of Linear Algebra or factorization of matrix

1-6 Factorization of symmetric matrix

1-7 Elimination to solve Ax=b

1-8 Gram-Schmidt method

1-9 Eigen values and Eigen vectors

1-10 Application of Eigen vector : Markov Process

1-11 Computing Linear Algebra

1-12 Linear Algebra #1 in MIT OCW

2-1 Importance of Linear Algebra

2-2 Rank of Matrix

2-3 Singular Values

2-4 Matrices of Data and Singular Values

Related Content

The Personal Voice in What it is To Be Classical: The Essay As From And Content in World Literature

Academic Frontier Lecture Series

#8 The Personal Voice in What it is To Be Classical: The Essay As From And Content in World Literature

Deconstructing knowledge and career paths (Class session video)

Teaching Development in Higher Education in English／UTokyo Global Future Faculty Development Program（UTokyo Global FFDP）

#8 Deconstructing knowledge and career paths (Class session video)

INTERNATIONAL REFUGEE LAW

International Refugee Law - Essentials and Comparatives

#16 INTERNATIONAL REFUGEE LAW

Seminar - Career Development in IFIs

Multilateral Financial Institutions: Rules and Practice

#12 Seminar - Career Development in IFIs

Conduction Electrons in Oxides

Physics of Transition Metal Oxides

#3 Conduction Electrons in Oxides

The Personal Voice in What it is To Be Classical: The Essay As From And Content in World Literature

Academic Frontier Lecture Series

#8 The Personal Voice in What it is To Be Classical: The Essay As From And Content in World Literature

Deconstructing knowledge and career paths (Class session video)

Teaching Development in Higher Education in English／UTokyo Global Future Faculty Development Program（UTokyo Global FFDP）

#8 Deconstructing knowledge and career paths (Class session video)

INTERNATIONAL REFUGEE LAW

International Refugee Law - Essentials and Comparatives

#16 INTERNATIONAL REFUGEE LAW

Seminar - Career Development in IFIs

Multilateral Financial Institutions: Rules and Practice

#12 Seminar - Career Development in IFIs

Conduction Electrons in Oxides

Physics of Transition Metal Oxides

#3 Conduction Electrons in Oxides

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1-3 What is the "rank" ? | Special Lecture at UTokyo "Linear Algebra" | UTokyo Channel

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