what is the degree of the determinant
Answers
Answer:
By the basic property of a determinant, that it is 0 if two of its rows are the same, we can deduce that determinant of a VanderMonde matrix will be 0 when any two of its rows are the same. But that means that, as a polynomial, it must have (xi - xj) as a factor, for every i and j.
Answer:
We may infer that the determinant of a VanderMonde matrix will be 0 when any two of its rows are the same by using the fundamental property of a determinant, which is that it is 0 if two of its rows are the same.
Step-by-step explanation:
The matrix's determinant must be calculated by multiplying a by b and c by d, then summing the results. Det (M) then equals a x b - (c x d). The degree of it now relies on the language you use. The determinant in mathematics is a scalar quantity that is a function of the rows and columns of a square matrix. It enables characterising a few aspects of the matrix and the linear map that the matrix represents. The second-order determinants are referred to as the determinant of the 22 matrix. determinants of the third order: Third-order Determinants are the determinants of 33 matrices. The scalar value calculated for a given square matrix is the determinant of a matrix.
Thus, a square matrix's determinant is a single number that, among other things, can be connected to a region's area or volume.