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The Algebraic multiplicity of the matrix A=  is

a) 1

b) 2

c) 3

d) 4

in Linear Algebra by Boss (32.3k points)
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2 Answers

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https://youtu.be/Xcln3xG8QGQ

Refer the video to understand algebraic multiplicity. And it is defined for each distinct eigen value. The characteristic equation is given by (a - 1)^3 = 0.

So it has only one distinct eigen value and it has algebraic multiplicity of 3 bcoz of term (a-1)^3.

Option C) 3 is the answer

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