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(a) For parts (i) and (ii) below, suppose that A is a 4 x 4 matrix with eigenvalues -1, -5, 2 and -3. (i) Find det(A). det(A) = (ii) Is A - 21 an invertible matrix? (No answer given) (b) Suppose that B is a 7 x 7 matrix with rank(B) = 3. Find the geometric multiplicity of the eigenvalue λ = 0. Geometric multiplicity =

(a) For parts (i) and (ii) below, suppose that A is a 4 x 4 matrix with eigenvalues -1, -5, 2 and -3. (i) Find det(A). det(A) = (ii) Is A - 21 an invertible matrix? (No answer given) (b) Suppose that B is a 7 x 7 matrix with rank(B) = 3. Find the geometric multiplicity of the eigenvalue λ = 0. Geometric multiplicity =

Advanced Engineering Mathematics
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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(a) For parts (i) and (ii) below, suppose that A is a 4 x 4 matrix with eigenvalues -1, -5, 2 and -3. (i) Find det(A). det(A) = (ii) Is A - 21 an invertible matrix? (No answer given) (b) Suppose that B is a 7 x 7 matrix with rank(B) = 3. Find the geometric multiplicity of the eigenvalue λ = 0. Geometric multiplicity =
Transcribed Image Text:(a) For parts (i) and (ii) below, suppose that A is a 4 x 4 matrix with eigenvalues -1, -5, 2 and -3. (i) Find det(A). det(A) = (ii) Is A - 21 an invertible matrix? (No answer given) (b) Suppose that B is a 7 x 7 matrix with rank(B) = 3. Find the geometric multiplicity of the eigenvalue λ = 0. Geometric multiplicity =
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