Sentences with DIAGONAL-MATRIX
Check out our example sentences below to help you understand the context.Sentences
1
"A diagonal matrix is a matrix where all the non-diagonal elements are zero."
2
"In a diagonal matrix, the main diagonal elements can be any real numbers."
3
"A square matrix can only be a diagonal matrix if all its non-diagonal elements are zero."
4
"A diagonal matrix is always a square matrix."
5
"The determinant of a diagonal matrix is the product of its diagonal elements."
6
"The rank of a diagonal matrix is equal to the number of non-zero diagonal elements."
7
"The inverse of a diagonal matrix can be obtained by taking the reciprocal of its non-zero diagonal elements."
8
"Multiplying a vector by a diagonal matrix scales each component of the vector by the corresponding diagonal element."
9
"A diagonal matrix can be easily represented in the form of a diagonal array."
10
"The sum of two diagonal matrices is a diagonal matrix if they have the same dimensions."
11
"The product of two diagonal matrices is a diagonal matrix if they have the same dimensions."
12
"A diagonal matrix can be used to perform independent scaling on different variables in a system."
13
"The identity matrix is a special type of diagonal matrix with all diagonal elements equal to 1."
14
"A diagonal matrix can be transformed into a row echelon form by performing row operations."
15
"The eigenvalues of a diagonal matrix are its non-zero diagonal elements."
16
"The trace of a diagonal matrix is equal to the sum of its diagonal elements."
17
"The diagonal elements of a diagonal matrix represent the scaling factors along the coordinate axes."
18
"A block diagonal matrix is a matrix composed of diagonal submatrices."
1
"A diagonal matrix is a square matrix in which all the elements outside the main diagonal are zero."
2
"The identity matrix is a special type of diagonal matrix with all the diagonal entries equal to 1."
3
"To determine whether a matrix is a diagonal matrix, check if all the elements outside the main diagonal are zero."
4
"The eigenvalues of a diagonal matrix are simply the diagonal entries of the matrix."
5
"A diagonal matrix can be easily raised to a power by raising each diagonal entry to that power."
6
"A diagonal matrix can be easily multiplied by a scalar by multiplying each diagonal entry by that scalar."
7
"Finding the determinant of a diagonal matrix is straightforward: it is simply the product of the diagonal entries."
8
"The inverse of a diagonal matrix can be computed by taking the reciprocal of each non-zero diagonal entry."
