Linear Algebra Tutorial by Kardi Teknomo
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Scan day: 09 February 2014 UTC
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Description: Basic operations on vectors, matrices, solving linear equations and eigen systems using interactive matrix calculators.
In this simple Linear Algebra tutorial, you will review the basic operations on vectors, matrices, solving linear equations and eigen systems. I made for almost every topic. The programs are well suited to guide discovery experiences where you can focus on the concept of linear algebra and let the program compute the more complex calculation. My focus is to introduce linear algebra with clarity of explanation. Thus, I try to avoid mathematical detail and you should read the proof of all the properties and theorems from the references. Manual examples on how to compute are given. Random examples of the interactive programs are useful to give you theoretically infinitely many examples. No download file is necessary for this tutorial and you must set JavaScript enabled in your browser.
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| Page title: | Linear Algebra tutorial |
| Keywords: | linear algebra, matrix, vector, interactive program, tutorial, Matrix size, Vector Size, Vector Algebra, What is Vector,Vector Norm, Unit Vector, Vector Addition, Vector Subtraction, Vector Scalar Multiple, Vector Multiplication, Vector Inner Product, Vector Outer Product, Vector Cross Product, Vector Triple Cross Product, Vector Triple Dot Product, Orthogonal vector, Orthonormal Vector, Vector Cos Angle, Scalar proection, vector Projection, Matrix Algebra, what is a matrix, why do we need matrix, special Matrices, Matrix One, matrix zero, Null Matrix, Matrix Diagonal, Diagonal Matrix, Identity Matrix, Matrix Special Properties, Matrix Determinant, Matrix Sum, Matrix Trace, Matrix Basic Operation, Is Equal Matrix, Matrix Transpose, Matrix Addition, Matrix Subtraction, Matrix Multiplication, Matrix Scalar Multiple, Matrix Element-wise product, Hadamard Product, Matrix Horizontal Concatenation, Matrix Vertical Concatenation, Elementary Row Operations, RREF, Finding inverse using RREF,Gauss-Jordan, Finding Matrix Rank using RREF, Matrix Inverse, Is Singular Matrix, Linear Transformation, Matrix Generalized Inverse, Left Inverse, Right Inverse, Moore Penrose Inverse, Solving System of Linear Equations, Linear combination, Span, Basis Vector, Linearly Dependent, Linearly Independent, Change of basis, Coordinate system, Matrix Rank, Matrix Range, Matrix Nullity, Null Space, Eigen System, Eigen Value, Eigen Vector, Symmetric Matrix, Matrix Eigen Value & Eigen Vector for Symmetric Matrix, Jacobi method, Similarity, Matrix Diagonalization, Matrix Power, matrix Exponent, Orthogonal Matrix, Spectral Decomposition, Schur decomposition, Singular Value Decomposition, SVD, Special Type Matrices, Positive Matrix, Non-Negative Matrix, Skew Symmetric matrix, Positive Semi-Definite matrix, Matrix Decomposition, LU Decomposition, UDU Decomposition, Matrix Singular Value Decomposition, Condition Number, ill-condition matrix, Frobenious norm. |
| Description: | Linear algebra tutorial with online interactive programs |
| IP-address: | 192.185.159.10 |
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| NS | Name Server: NS1.KIOZDOMAIN.COM Name Server: NS2.KIOZDOMAIN.COM |
| WHOIS | Status: ok |
| Date | Creation Date: 28-oct-2003 Expiration Date: 28-oct-2014 |