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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.
How many lines of symmetry do all nonsquare rectangles have?
4
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.
How do you solve log determinant?
To solve for the log determinant of a matrix, you typically compute the determinant first and then take the logarithm of that value. For a positive definite matrix ( A ), the log determinant can be expressed as ( \log(\det(A)) ). If ( A ) is decomposed using methods like Cholesky decomposition, you can simplify the computation by calculating the determinant of the triangular matrix and then applying the logarithm. Additionally, in some contexts, such as with Gaussian distributions, the log determinant can be efficiently computed using properties of matrix trace and eigenvalues.
Calculating the complexity of determinant of matrix with n columns?
Using the method derived from the usual definition using the minors, the complexity is O(n!). But it seems that one could just do the Gaussian elimination on the matrix, turning the matrix into a triangular one while keeping track of any neccessary row swaps, and then just multiply the values of the diagona. This method would get the complexity of O(n*n).
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.
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
What does it mean for a matrix to be triangular?
A square matrix in which all the entries of the main diagonal are zero
How many lines of symmentry does nonsquare rectangle have?
2
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.
How many lines of symmetry do all nonsquare rectangles have?
4
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.
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.
