 |
|
|
|
|
|
||||||||||||
|
|||||||||||||||||
 |
 |
|
|
||||||||||||||
 |
 |
 |
|
|
|||||||||||||
 |
|
||||||||||||||||
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 |
Vector Subtraction Two vectors of the same dimension (i.e. the same number of elements) can be subtracted from one another to produce a resultant vector that is also at the same dimension as the input vectors. Negative vector is a vector with the same magnitude as the input vector but with the opposite direction. Thus vector subtraction is equal to addition of the first vector to the negative of the second vector. Algebraically, vector subtraction is done by subtracting the corresponding element of the vectors Example Geometrically, a line segment bounded by two points
The interactive program below show you the algebraic part of the vector subtraction. Your input must be two vectors of the same dimension (one vector for each text box) and the program will produce the result of vector subtraction.
PropertiesSome important properties of vector subtraction are
See also: vector addition
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\ |
|||||||||||||
|
||||||||||||||
|
||||||||||||||
.
, 
, 
and 
is equal to vector subtraction of the two points.
