"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
An affine transformation is a linear transformation between vector spaces, followed by a translation.
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
It is an integral part of the vector and so is specified by the vector.
The components of a vector are magnitude and direction.
Vector spaces can be formed of vector subspaces.
Tatsuo Kimura has written: 'Introduction to prehomogeneous vector spaces' -- subject(s): Vector spaces
F. Brickell has written: 'Matrices and vector spaces' -- subject(s): Matrices, Problems, exercises, Vector spaces
What are the practical applications of influence line diagram
in which field vector calculus is applied deeply
Robert M. Thrall has written: 'Vector spaces and matrices' -- subject(s): Vector spaces, Matrices 'A generalisation of numerical utilities 1'
"Linear algebra is a branch of mathematics that studies vector spaces, also called linear spaces, along with linear functions that input one vector and output another." (from Wikipedia)
Jean Schmets has written: 'Spaces of vector-valued continuous functions' -- subject(s): Continuous Functions, Locally convex spaces, Vector valued functions
The zero vector, denoted as 0, is a vector with all components equal to zero. It serves as the additive identity element in vector spaces, meaning that adding it to any vector does not change the vector's value.
no
No practical applications. Francium is used only for scientific studies.
Bohrium has not practical applications.