4. let A be a 4 x 4 matrix with eigenvalues 2 and -2 Find Rank(A), Nullity(A), Tr(A), det(A). www MAKARO
4. let A be a 4 x 4 matrix with eigenvalues 2 and -2 Find Rank(A), Nullity(A), Tr(A), det(A). www MAKARO
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:erminar
9.14. let A be a 4 x 4 matrix with eigenvalues 2 and -2 each with multiplicity
2. Find Rank(A), Nullity(A), Tr(A), det(A).
TY WIECH
value
des 0, 1,2,3,4. How many solutionsm

Transcribed Image Text:9.14 A is invertible (none of its eigenvalues are zero). Hence rank is 4, nullity
is 0. Tr(A) = 2+2-2-2 = 0. det(A) = (2)(2)(-2)(-2) = 16.
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