Sentences with NULL-SPACE
Check out our example sentences below to help you understand the context.Sentences
1
"The null space of a matrix contains all vectors that the matrix maps to the zero vector."
2
"To find the null space of a matrix, one must solve the homogeneous equation Ax = 0."
3
"The dimension of the null space of a matrix is known as the nullity of the matrix."
4
"The null space of a linear transformation is also called the kernel of the transformation."
5
"The null space of a linear map can be understood as the set of all inputs that produce zero output."
6
"In linear algebra, the null space is an important concept in studying linear equations and systems."
7
"To determine if a vector is in the null space of a matrix, one can check if it gets mapped to zero."
8
"The null space of a matrix can be visualized as the set of vectors parallel to the null space basis."
9
"The null space of a matrix A is denoted as N(A) or sometimes as NS(A)."
10
"The dimension of the null space of a matrix A can be found using the rank-nullity theorem."
11
"The null space of a linear operator consists of all vectors that the operator maps to the zero vector."
12
"The null space of a matrix can be computed using methods such as Gaussian elimination."
13
"A matrix is invertible if and only if its null space contains only the zero vector."
14
"The null space of a matrix is always a subspace of the vector space in which it is defined."
15
"The null space of a matrix can also be referred to as the solution space or the cokernel."
16
"The dimension of the null space of a matrix A is related to the number of linearly independent columns."
17
"The null space of a matrix A is empty if and only if A has full column rank."
18
"A matrix A and its transpose A^T have the same null space."
19
"The null space of a square matrix includes only the zero vector if and only if the matrix is invertible."
20
"The null space of the zero matrix is the entire vector space it is defined in."
1
"The null space of a matrix is the set of vectors such that when multiplied by the matrix, it results in the zero vector."
2
"Finding the null space of a linear transformation can help determine if the transformation is invertible."
3
"The dimension of the null space is equal to the number of free variables in the system of equations."
4
"A matrix is said to be singular if its null space is not trivial."
5
"The null space of a linear operator contains the zero vector."
6
"By finding the basis for the null space of a matrix, we can determine the linear dependence of its columns."
7
"The null space of a linear map preserves linear combinations."
8
"The null space of a transformation is also referred to as the kernel."
9
"The null space of a linear system can be represented as the solution space of the homogeneous system."
10
"The null space of a matrix is also known as the solution space of its associated homogeneous equation."
