(Solved) Find the value(s) of the parameter k, if they exist, for which the matrix
Question: Find the value(s) of the parameter \(k\), if they exist, for which the matrix
\[B=\left[\begin{array}{cc} k & 1 \\ -2 & 0 \end{array}\right]\]- has two complex eigenvalues with negative real part.
- has one repeated eigenvalue.
- has two distinct real eigenvalues.
Deliverable: Word Document 
(See Steps) a. Find the characteristic polynomial, eigenvalues,
![[See Steps] Show that for any n](/images/solutions/MC-solution-library-59659.jpg "[See Steps] Show that for any n * n matrix A det; A=λ_1 •")
[See Steps] Show that for any n * n matrix A det; A=λ_1 •
![[Step-by-Step] a. Show that the following vectors](/images/solutions/MC-solution-library-59660.jpg "[Step-by-Step] a. Show that the following vectors form a basis for")
[Step-by-Step] a. Show that the following vectors form a basis for
(Solved) Let T: R^3 \rightarrow R^3 be a linear transformation
![[Solution] Find three matrices A,B and C](/images/solutions/MC-solution-library-59662.jpg "[Solution] Find three matrices A,B and C that will first rotate")
[Solution] Find three matrices A,B and C that will first rotate
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