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Characteristic polynomial
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Revision as of 01:13, July 4, 2008
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01:13, July 4, 2008
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The '''characteristic polynomial''' of a [[matrix]] <math>A</math> is given by,
+
The '''characteristic polynomial''' of a
square
[[matrix]] <math>A</math> is given by,
−
:<math>
|
A-\lambda I
|=0
</math>
+
:<math>
f(\lambda) = \det(
A-\lambda I
)
</math>
−
where <math>I</math> is the [[identity matrix]].
+
where <math>I</math> is the [[identity matrix]]
. The zeros of this polynomial are the eigenvalues of the matrix
.
[[Category:Linear algebra]]
[[Category:Linear algebra]]
Lemonpeel
152
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