Mathematics, 29.05.2020 15:58 130004979

An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with exactly one at least one all of the 0's 1's replaced with some number k. This means it is an invertible matrix, a zero matrix, a singular matrix, a triangular matrix, an identity matrix, and so its determinant is the sum product of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is nothing.

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An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matr...