 |
|
|
|
|
|
||||||||||||
|
|||||||||||||||||
 |
 |
|
|
||||||||||||||
 |
 |
 |
|
|
|||||||||||||
 |
|
||||||||||||||||
Matrix Size & Validation
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 Scalar Triple Product Orthogonal & Orthonormal Vector Cos Angle of Vectors Scalar and Vector Projection Matrix Algebra What is a matrix? Special Matrices Matrix One Null Matrix Matrix Diagonal Is Diagonal Matrix? Identity Matrix Matrix Determinant Matrix Sum Matrix Trace Matrix Basic Operation Is Equal Matrix? Matrix Transpose Matrix Addition Matrix Subtraction Matrix Multiplication Matrix Scalar Multiple Hadamard Product Horizontal Concatenation Vertical Concatenation Elementary Row Operations Matrix RREF Finding inverse using RREF (Gauss-Jordan) Finding Matrix Rank using RREF Matrix Inverse Is Singular Matrix? Linear Transformation Matrix Generalized Inverse Solving System of Linear Equations Linear combination, Span & Basis Vector Linearly Dependent & Linearly Independent Change of basis Matrix Rank Matrix Range Matrix Nullity & Null Space Eigen System Matrix Eigen Value & Eigen Vector Symmetric Matrix Matrix Eigen Value & Eigen Vector for Symmetric Matrix Similarity Transformation and Matrix Diagonalization Matrix Power Orthogonal Matrix Spectral Decomposition Singular Value Decomposition Resources on Linear Algebra |
Matrix Scalar Multiple When we multiply a real number
The interactive program below shows you the result of matrix scalar multiple. Your input is a matrix of any size but less than 100 scalar elements and a scalar number. Random Example will generate both random matrix and random scalar. PropertiesSome important properties of matrix scalar multiple are
See also: matrix multiplication, matrix addition, matrix zero Rate this tutorial or give your comments about this tutorial Preferable reference for this tutorial is Teknomo, Kardi (2011) Linear Algebra tutorial. http:\\people.revoledu.com\kardi\ tutorial\LinearAlgebra\ |
|||||||||||||
|
||||||||||||||
|
||||||||||||||
with a matrix
, we have the scalar multiple of
. The scalar multiple matrix 
has the same size of the input matrix 
and it is obtained by multiplying each element of 
by
that is
.
. 
and multiplication
. 
. 
