Rank & Nullity · Linear Algebra · Varsity Tutors

Linear Algebra Quiz

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MATRIX DECOMPOSITIONS & STRUCTURE

Question 1 of 19

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Let

V

be the vector space of all

3 \times 3

matrices, and let

T: V \to V

be defined by

T(X) = AX - XA

for some fixed

3 \times 3

matrix

A

. If

A

has eigenvalues

1, 2, 3

, what is the nullity of

T

?

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