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What is strictly lower triangular matrix?
A strictly lower triangular matrix is a kind of (lower) triangular matrix. Term "lower" implies matrix has elements only in the lower half. The condition "strictly" implies that even the "diagonal" of such lower triangular matrix is populated with '0's. The strictly lower triangular matrix thus has '0's in its diagonal as well as the upper triangle part. In other words, a strictly lower triangular matrix is a lower triangular matrix minus its diagonal.
What is a unit matrix?
It is a square matrix whose main diagonal has only 1's and all other positions in the matrix are 0.
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 application of sparse matrix?
A sparse matrix is matrix that allows special techniques to take advantage of large number of zero element. Application of sparse matrix is classification and relationship analysis in large data base system - SPARCOM
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.
How do you Write A program in c language for checking a diagonal matrix?
Write a program in c++ that take input in a integer matrix of size 4*4 and find out if the entered matrix is diagonal or not.
What is the definition of a diagonal matrix?
Diagonal Matrix A square matrix A which is both uper-triangular and lower triangular is called a diagonal matrix. Diagonal matrix is denoted by D.
Is the scalar matrix is always a identity matrix?
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
Is null matrix is diagonal matrix?
Yes.
What is the determinant of a 3x3 diagonal matrix?
It is the product of the three diagonal elements.
What is the trace of a matrix to a power?
It is the diagonal entries of the matrix raised to a power.
What is a minor diagonal matrix?
A minor diagonal matrix is one where the only non-zero entries are along the diagonal that runs from bottom most left to upper most right.
Is a matrix multiplied by its transpose diagonalisable?
It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero.
What does it mean for a matrix to be triangular?
A square matrix in which all the entries of the main diagonal are zero
What is term for square matrix with zero determinant?
diagonal
What is scalene matrix?
A square matrix is said to be scalene Matrix if it has all principal diagonal elements equal and remaining all
Example of commutative matrix?
The identity matrix, which is a square matrix with zeros everywhere except on the principal diagonal where they are all ones.
