0
A null matrix is a matrix with all its elements zero.
EXAMPLES : (0 0) is a null row matrix.
(0 0)
(0 0) is a null square matrix.
NOTE : Text handling limitations prevent the printing of large brackets to enclose the matrix array. Two pairs of smaller brackets have therefore been used.
Answer 2:The above answer is a null matrix. However, the nullity of a matrix is the dimension of the kernel. Rank + Nullity = Dimension. So if you have a 4x4 matrix with rank of 2, the nullity must be 2. This nullity is the number of "free variables" you have. A 4x4 matrix is 4 simultaneous equations. If it is rank 2, you have only two independent equations and the other two are dependent. To solve a system of equations, you must have n independent equations for n variables. So the nullity tells you how short you are in terms of equations.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What is nullity matrix?
nullity of A is the dimension of null space of A.
What type of matrix is a vector?
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
Is matrix polynomial and polynomial matrix same?
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.
What is the inverse of the matrix 3?
It is the matrix 1/3It is the matrix 1/3It is the matrix 1/3It is the matrix 1/3
How do you call a matrix that if you multiplied it by the original matrix you would get the identity matrix?
That is called an inverse matrix
What is nullity matrix?
nullity of A is the dimension of null space of A.
Are the image and kernel of a 3x3 matrix ever equal If so give an example?
No.A 3x3 matrix A is a representation of a linear map \alpha : \mathbb{R}^3 \longrightarrow \mathbb{R}^3 .For any linear map T : U \longrightarrow V ,we have the rank-nullity theorum:rank(T)+nullity(T) = dim(U)where the rank and nullity are the dimensions of the image and kernal of T respectively.Im(T) = ker(T) \Rightarrow rank(T) = nullity(T) = m, sayfor some non-negative integer m. Then the rank-nullity theorum implies that dim(U)=2m.The image and kernal of a matrix A are the same as those for the corresponding basis-free linear map \alpha .For a 3x3 matrix, dim(U) = 3, so there are no such matrices (since 3 is odd).
What is an idempotent give examples of idempotent matrix.?
An idempotent is a matrix whose square is itself. Specifically, A^{2}=A. For example the 2x2 matrix A= 1 1 0 0 is idempotent.
What is an idempotent give examples of idempotent matrix?
An idempotent is a matrix whose square is itself. Specifically, A^{2}=A. For example the 2x2 matrix A= 1 1 0 0 is idempotent.
What is noun of nullity?
The noun nullity is a singular, common, abstract noun; a word for something having no legal validity; something of no importance or worth.
Is a singular matrix an indempotent matrix?
A singular matrix is a matrix that is not invertible. If a matrix is not invertible, then:• The determinant of the matrix is 0.• Any matrix multiplied by that matrix doesn't give the identity matrix.There are a lot of examples in which a singular matrix is an idempotent matrix. For instance:M =[1 1][0 0]Take the product of two M's to get the same M, the given!M x M = MSo yes, SOME singular matrices are idempotent matrices! How? Let's take a 2 by 2 identity matrix for instance.I =[1 0][0 1]I x I = I obviously.Then, that nonsingular matrix is also idempotent!Hope this helps!
What are some examples of science fiction?
Star Trek, Stargate, Invasion, Farscape, Aliens, Predator, Matrix ..
Where is it possible to purchase the Matrix Trilogy on DVD?
One can purchase the Matrix Trilogy on DVD from many retailers and online stores. Examples of stores that have the DVD in stock include Walmart, Amazon, and Target.
What is a sentence for the word nullity?
The court declared the contract to be null and void, citing its nullity due to lack of legal capacity.
How can a divorced non-Catholic man obtain a declaration of nullity from the Church?
.Catholic AnswerHe would need to speak with a priest. A decree of nullity says that, according to the Church, no valid marriage too place. In other words, the non-Catholic man could only obtain a decree of nullity if, according to the Catholic Church his civil marriage was not valid - it is not a given, he must prove it.
In 1877 Judge Prendergast ruled that the Treaty of Waitangi must be considered a?
"A simple nullity".
If a person is legally divorced and has children out of wedlock and the fiancee is Catholic can he get married in a Catholic church?
You would have to attempt to receive a declaration of nullity from the Catholic Church first. If you receive a declaration of nullity then you may marry. Call your Diocesan Chancery for info.
