Question: Determinants of Elementary Matrices Find the determinants for each of the elementary matrices (Sec. 3.3, Problems 40 and 41) fanned by the elementary row operations

Determinants of Elementary Matrices Find the determinants for each of the elementary matrices (Sec. 3.3, Problems 40 and 41) fanned by the elementary row operations on the 3 x 3 identity matrix I, described as follows.
(a) Interchange two rows of I to get matrix Eint ( Find |Eint|.
(b) Replace a row by the sum of a multiple of another row and the original row to obtain matrix ERepl. Find ERepl.
(c) Scale a row b y multiplying b y a nonzero scalar k to obtain Escale· Find |Escale|.
Theconclusions all extend to n ( n matrices, and in combination with Problem 38 will prove the rules for the effects of row operations on determinants?

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