The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find the value that makes this statement true).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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The matrix

A=[7    k]
     [-8 −4]
 
has two distinct real eigenvalues if and only if k<_____ (Find the value that makes this statement true).
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