Sentences with SCALAR-MATRIX
Check out our example sentences below to help you understand the context.Sentences
1
"A scalar matrix is a square matrix in which all the diagonal elements are equal."
2
"The scalar matrix of order 3 can be represented as a 3x3 matrix with equal diagonal entries."
3
"For example, the scalar matrix of order 2 is represented as [[k, 0], [0, k]], where k is a scalar value."
4
"The determinant of a scalar matrix is raised to the power of the matrix dimension."
5
"A scalar matrix is always a diagonal matrix with constant entries along the diagonal."
6
"Multiplying a scalar matrix by a scalar value results in a new scalar matrix with updated diagonal entries."
7
"The sum of two scalar matrices is also a scalar matrix."
8
"A scalar matrix is commutative under matrix addition."
9
"The transpose of a scalar matrix is still the same scalar matrix."
10
"A scalar matrix is an example of a matrix with scalar multiples of the identity matrix."
11
"The scalar matrix is a special case of a diagonal matrix."
12
"A scalar matrix can be represented as a product of a scalar value and the identity matrix."
13
"The eigenvalues of a scalar matrix are equal to its diagonal entries."
14
"A scalar matrix is always invertible if and only if its diagonal entries are nonzero."
15
"The trace of a scalar matrix is equal to the sum of its diagonal entries."
1
"A scalar matrix is a square matrix in which all the diagonal elements are equal and all other elements are zero."
2
"The scalar matrix can be represented by the symbol kI, where k is the scalar and I is the identity matrix."
3
"Multiplying any matrix by a scalar matrix results in each element of the original matrix being multiplied by the corresponding scalar value."
4
"A scalar matrix is always a diagonal matrix."
5
"The determinant of a scalar matrix is equal to the scalar raised to the power of the matrix's order."
6
"A scalar matrix is a special case of a diagonal matrix."
7
"The eigenvalues of a scalar matrix are equal to the scalar itself."
8
"In linear algebra, a scalar matrix represents a linear transformation that scales all vectors by the same factor."
9
"A scalar matrix is an important concept in matrix theory."
