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A square matrix in which all the entries of the main diagonal are zero

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Q: What does it mean for a matrix to be triangular?
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What is the definition of Uper-triangular matrix?

Uper-triangular Matrix A square matrix A whose elements aij=0 for i>j is called upper triangular matrix.


Can a nonsquare matrix be a triangular matrix?

No. Only square matrices can be triangular.


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.


Definition of Lower-triangular matrix?

Lower-triangular Matrix A square matrix A whose elements aij=0 for i


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.


Wap to build a sparse matrix as an arraywrite functions to check if the sparse matrix is a square diagonal or lower triangular or upper triagular or tridiagonal matrix?

write a programe to build a sparse matrix as an array. write function to check if the sparse matrix is a square, diagonal,lower triangular, upper triangular or tridiagonal matrix


C program for upper triangular matrix for a given matrix?

This sounds very much like a homework problem. If you work on it and get started, you found a great place to ask a specific question. However, this is not a place to have your homework done for you.


What do you mean by consistency of matrix?

what does mean consistence of matrix and uniqueness of it? how we can find it? please support with example


How to find the inverse of a square matrix?

You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.


How to find the inverse of a symmetric matrix?

You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.


How to find the Inverse of a square symmetric matrix?

You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.


What is mean by order of a matrix?

For a square matrix, the order is the number of rows (or columns).