Using only elementary row or elementary column operations (do not expand the determinant) verify the following:

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 45PS
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Using only elementary row or elementary column operations (do not expand the determinant) verify the following:

a)

a-b b-c c-a
1 1 1
a b c

=

a b c
1 1 1
b c a

 

b)

1 1 1
a b c
bc ac ab

=

1 1 1
a b c
a2 b2 c2
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