Matrix Algebra
By Kardi Teknomo, PhD.
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This is the second section of Linear Algebra tutorial that you will learn about matrix and matrix algebra.
The following are the topics of this section:
What is a matrix and why do we need matrix? Special Matrices Matrix One Null Matrix Matrix Diagonal (Is 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 Matrix RREF Finding inverse using RREF (Gauss-Jordan) Finding Matrix Rank using RREF Matrix Inverse Is Singular Matrix?
Matrix One Null Matrix Matrix Diagonal (Is Diagonal Matrix?) Identity Matrix
Matrix Determinant Matrix Sum Matrix Trace
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 Matrix RREF Finding inverse using RREF (Gauss-Jordan) Finding Matrix Rank using RREF Matrix Inverse Is Singular Matrix?
See Also: Vector Algebra, Linear transformation, Eigen System
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This tutorial is copyrighted.
Preferable reference for this tutorial is
Teknomo, Kardi (2011) Linear Algebra tutorial. http:\\people.revoledu.com\kardi\ tutorial\LinearAlgebra\
