Determinants of Elementary Matrices Find the determinants for each of the elementary matrices (Sec. 3.3, Problems 40
Question:
(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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Determinants of Elementary Matrices a If we interchange the rows of the 22 identity matrix we change ...View the full answer
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Related Book For 
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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