Uper-triangular Matrix A square matrix A whose elements aij=0 for i>j is called upper triangular matrix.
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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.
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Lower-triangular Matrix A square matrix A whose elements aij=0 for i
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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.
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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
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A square matrix in which all the entries of the main diagonal are zero
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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.
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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.pdf
Since (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
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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.pdf
Since (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
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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.pdf
Since (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
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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).
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A triangular dipyramid.
A triangular dipyramid.
A triangular dipyramid.
A triangular dipyramid.
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#include<stdio.h>
int main(){
int a[3][3],i,j;
float determinant=0;
printf("Enter the 9 elements of matrix: ");
for(i=0;i<3;i++)
for(j=0;j<3;j++)
scanf("%d",&a[i][j]);
printf("\nThe matrix is\n");
for(i=0;i<3;i++){
printf("\n");
for(j=0;j<3;j++)
printf("%d\t",a[i][j]);
}
printf("\nSetting zero in upper triangular matrix\n");
for(i=0;i<3;i++){
printf("\n");
for(j=0;j<3;j++)
if(i>=j)
printf("%d\t",a[i][j]);
else
printf("%d\t",0);
}
return 0;
}
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"triangular" is an adjective, not a noun. So there is no object such as "the triangular". The triangular WHAT?
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It is a triangular pyramid.
It is a triangular pyramid.
It is a triangular pyramid.
It is a triangular pyramid.
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A triangular pyramid or tetrahedron.
A triangular pyramid or tetrahedron.
A triangular pyramid or tetrahedron.
A triangular pyramid or tetrahedron.
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The determinant of a 4x4 matrix can be calculated using various methods, including cofactor expansion or row reduction. The cofactor expansion involves selecting a row or column, multiplying each element by its corresponding cofactor, and summing the results. Alternatively, row reduction can simplify the matrix to an upper triangular form, where the determinant is the product of the diagonal elements, adjusted for any row swaps. The determinant provides important information about the matrix, such as whether it is invertible (non-zero determinant) or singular (zero determinant).
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A triangular prism is a pentahedron, a triangular pyramid is a tetrahedron.
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There are three Matrix movies: The Matrix, The Matrix Reloaded, and The Matrix Revolutions. There are also a series of short animated films called The Animatrix.
All movies on TopRater: toprater.com/en/movies/objects/2867535-the-matrix-1999
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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.
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An idempotent matrix is a matrix which gives the same matrix if we multiply with the same.
in simple words,square of the matrix is equal to the same matrix.
if M is our matrix,then
MM=M.
then M is a idempotent matrix.
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The first movie was "The Matrix", the second was "Matrix Reloaded", then "Matrix Revolutions".
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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.
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A triangular pyramid has 4 vertices, while a triangular prism has 6. Therefore, a triangular prism has 2 more vertices than a triangular pyramid.
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the triforce
All triangular pyramids, also called tetrahedrons, have a triangular base.
All triangular antiprisms, also called octahedrons, have a triangular base.
All triangular prisms have a triangular base.
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It is the matrix 1/3
It is the matrix 1/3
It is the matrix 1/3
It is the matrix 1/3
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The garden was triangular in shape. He showed me triangular nachos.
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A triangular prism.
A triangular prism.
A triangular prism.
A triangular prism.
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There were three live action films and one collection of anime shorts.
The Matrix (1999)
The Matrix: Reloaded (2003)
The Matrix: Revolutions (2003)
The Animatrix (2003)
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The second movie in the Matrix trilogy was The Matrix Reloaded.
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a triangular prism
* * * * *
or a triangular dipyramid (two triangular pyramids stuck together).
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A triangular prism can have a square or triangular base.
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A triangular pyramid.
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Triangular Pyramid......... The faces are Triangular....
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Reduced matrix is a matrix where the elements of the matrix is reduced by eliminating the elements in the row which its aim is to make an identity matrix.
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1. triangular prism it has 2 triangular faces.
2.triangular base pyramid, it has 5 triangular faces.
3. square base pyramid, it has 4 triangular faces.
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None, because there can be no such thing as a triangular square. If it is triangular it cannot be a square, if it is a square it cannot be triangular.
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Triangular prism: 6
Triangular pyramid: 4
Answer: 2
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That is called an inverse matrix
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A triangular prism has two congruent triangular bases in parallel planes and three rectangular faces joining them together.
A triangular pyramid has four triangular faces, a triangular base and three triangular faces meeting at an apex above the base.
Triangular prism: 6 vertices, 5 faces, 9 edges
Triangular pyramid: 4 vertices, 4 faces, 6 edges
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#include<stdio.h>
int main()
{
double matrix[10][10],a,b, temp[10];
int i, j, k, n;
printf("Enter the no of variables: ");
scanf("%d", &n);
printf("Enter the agumented matrix:\n");
for(i = 0; i < n ; i++){
for(j = 0; j < (n+1); j++){
scanf("%lf", &matrix[i][j]);
}
}
for(i = 0; i < n; i++){
for(j = 0; j < n; j++){
if(j>i){
a = matrix[j][i];
b = matrix[i][i];
for(k = 0; k < n+1; k++){
matrix[j][k] = matrix[j][k] - (a/b) * matrix[i][k];
}
}
}
}
printf("The Upper triangular matrix is: \n");
for( i = 0; i < n; i++){
for(j = 0; j < n+1; j++){
printf("%.2f", matrix[i][j]);
printf("\t");
}
printf("\n");
}
printf("\nThe required result is: ");
for(i = n-1; i>=0; i--){
b = matrix[i][n];
for(j = n-1 ; j > i; j--){
b -= temp[n-j]*matrix[i][j];
}
temp[n-i] = b/matrix[i][i];
printf("\n%c => %.2f",97+i, temp[n-i]);
}
}
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the difference is a triangular pyramid has a point at the top and a triangular prism doesn't and a triangular pyramid has a square at the bottom and tringular prism doesn't
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