Noun:

তির্যক প্রধান,

main diagonal's Usage Examples:

In linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, or major diagonal) of a matrix A {\displaystyle.

The entries a i i {\displaystyle a_{ii}} (i = 1, …, n) form the main diagonal of a square matrix.

bidiagonal matrix is a banded matrix with non-zero entries along the main diagonal and either the diagonal above or the diagonal below.

example, the identity matrix can be defined as having entries of 1 on the main diagonal and zeroes elsewhere: ( 1 0 0 0 1 0 0 0 1 ) {\displaystyle.

entries above the main diagonal are zero.

Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero.

following three properties: all entries on the main diagonal are ones the entries below the main diagonal of at most one column are arbitrary every other.

has nonzero elements on the main diagonal, the first diagonal below this, and the first diagonal above the main diagonal only.

algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices.

The main diagonal of a square matrix is the diagonal joining the upper left corner and.

square matrix such that the values on each line perpendicular to the main diagonal are the same for a given line.

identity matrix of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.

The entries of a symmetric matrix are symmetric with respect to the main diagonal.

constructed by projecting the Cantor cube onto the plane orthogonal to its main diagonal.

Its only nonzero entries are on the main diagonal, and the first two upper and two lower diagonals.

matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A.

whose non-zero entries are confined to a diagonal band, comprising the main diagonal and zero or more diagonals on either side.

triangular should be interpreted as having only zero entries below the main diagonal, which starts at the upper left corner.

\in \mathbb {Z} } , then stretched along its main diagonal until the simplices on the ends of the hypercubes become regular.

containing zeros in all entries except for the first row, first column, and main diagonal, these entries can be any number.

of A below the main diagonal are zero, A is called an upper triangular matrix.

Similarly if all entries of A above the main diagonal are zero, A is called.

Synonyms:

diagonal; principal diagonal;

Antonyms:

vertical; horizontal; curve;