Consider the matrix $\left[ {\begin{array}{*{20}{c}} 5&{ - 1}\ 4&1 \end{array}} \right]$ which one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?

Question

Consider the matrix $\left[ {\begin{array}{*{20}{c}} 5&{ - 1}\ 4&1 \end{array}} \right]$ which one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?

TuteeHUB · Accepted Answer

Eigen value 3 has a multiplicity of 2 and two independent eigen vectors exist

TuteeHUB · Answer

Eigen value 3 has a multiplicity of 2 and only one independent eigen vector exists

TuteeHUB · Answer

Eigen value 3 has a multiplicity of 2 and no independent eigen vector exists

TuteeHUB · Answer

Eigen values are 3 and –3 and two independent eigen vectors exist.

1.	Consider the matrix \(\left[ {\begin{array}{*{20}{c}} 5&{ - 1}\\ 4&1 \end{array}} \right]\) which one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?
A.	Eigen value 3 has a multiplicity of 2 and only one independent eigen vector exists
B.	Eigen value 3 has a multiplicity of 2 and two independent eigen vectors exist
C.	Eigen value 3 has a multiplicity of 2 and no independent eigen vector exists
D.	Eigen values are 3 and –3 and two independent eigen vectors exist.
Answer» B. Eigen value 3 has a multiplicity of 2 and two independent eigen vectors exist

Consider the matrix \(\left[ {\begin{array}{*{20}{c}} 5&{ - 1}\\ 4&1 \end{array}} \right]\) which one of the following statements is TRUE for the eigenvalues and eigenvectors of the matrix?

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