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What is a symmetric matrix?
a square matrix that is equal to its transpose
What is a skew symmetric matrix?
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
When can you not invert a matrix?
If it is not a square matrix. You cannot invert a square matrix if it is singular. That means that at least one of the rows of the matrix can be expressed as a linear combination of the other rows. A simple test is that a matrix cannot be inverted if its determinant is zero.
What is an adjoint matrix?
The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.
Why do square matrices only have multiplicative inverses?
there are pseudo inverses for non-square matrices a square matrix has an inverse only if the original matrix has full rank which implies that no vector is annihilated by the matrix as a multiplicative operator
Is idempotent matrix a square matrix?
A square matrix K is said to be idempotent if K2=K.So yes K is a square matrix
When is it important for a matrix to be square?
In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.
What is the Square root of a matrix?
The idempotent matrix is also called square root of a matrix. i.e.)A2=A
How do you implement Hadamard matrix in c?
A Hadamard Matrix is a square matrix composed of 1 or -1. Using a square matrix system the hadamard matrix could be created
What is a square matrix?
Square Matrix: When m=n (Here m=Rows and n=colums) are same is called square matrix. Ex. A=|Bij|
Does every square matrix have an inverse?
No. A square matrix has an inverse if and only if its determinant is nonzero.
What is a symmetric matrix?
a square matrix that is equal to its transpose
What are squares with numbers in them in text?
A rectangle containing numbers are called "matrix" (1 0 0 1) (3 4 8 0) is a 2 x 4 matrix a SQUARE containing numbers is a n x n matrix, or square matrix (1 0) (5 6) is a square matrix (1) is a square matrix
What is the definition of involtary matrix?
Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.
If a matrix has only one element is it a square matrix?
Yes.
Which matrix has no multiplicative inverse?
A rectangular (non-square) matrix.
What is a skew symmetric matrix?
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
