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