recategorized by
339 views
0 votes
0 votes
The Eigen Vectors of the Matrix  $A=\begin{bmatrix} 3 &4 \\ 4 &-3 \end{bmatrix}$ are $\begin{bmatrix} a\\ 1 \end{bmatrix},\begin{bmatrix} 1\\ b \end{bmatrix}$ the $a+b=?$

Answer is given (a+b)=0 how ?????
recategorized by

1 Answer

0 votes
0 votes
Find the eigen values using det(A-$\Lambda$I)=0 it'll be 5,-5

Then solve for value of a and b using (A-$\Lambda$I)x=0 where x are two given eigen vectors, you will get value of a,b as a=2 b=-2

It's very easy maybe you are doing some calculation mistake.

Related questions

0 votes
0 votes
1 answer
1
gatecse asked Sep 18, 2019
939 views
The set of vectors constituting an orthogonal basis in $\mathbb{R} ^3$ is$\begin{Bmatrix} \begin{pmatrix} 1 \\ -1 \\ 0 \end{pmatrix}, & \begin{pmatrix} 1 \\ 1 \\ 0 \end{p...
0 votes
0 votes
0 answers
2
gatecse asked Sep 18, 2019
301 views
The set of vectors constituting an orthogonal basis in $\mathbb{R}^{3}$ is$\begin{Bmatrix} \begin{pmatrix} 1\\ -1 \\0 \end{pmatrix}&,\begin{pmatrix} 1\\ 1 \\0 \end{pmatri...
0 votes
0 votes
0 answers
4