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Does every square matrix have an inverse?
No. A square matrix has an inverse if and only if its determinant is nonzero.
Does every square matrix have Lu decomposition?
no be quiet
Is every square matrix is a product of elementary matrices explain?
Yes, every square matrix can be expressed as a product of elementary matrices. This is because elementary matrices, which perform row operations, can be used to transform any square matrix into its row echelon form or reduced row echelon form through a series of row operations. Since any square matrix can be transformed into the identity matrix using these operations, it can be represented as a product of the corresponding elementary matrices that perform these transformations. Thus, every square matrix is indeed a product of elementary matrices.
Does every square matrix have a determinant?
Yes, every square matrix has a determinant. The determinant is a scalar value that can be computed from the elements of the matrix and provides important information about the matrix, such as whether it is invertible. For an ( n \times n ) matrix, the determinant can be calculated using various methods, including cofactor expansion or row reduction. However, the determinant may be zero, indicating that the matrix is singular and not invertible.
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 matrix have a determinate?
No, since there is no such thing as a determinate. And, in any case you were wondering about improving your spelling so as to make you questions more answerable, a non-square matrix does not have a determinant.
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
