0 votes 0 votes The number of linearly independent eigen vector of matrix A(3$\times$3) given as following a11=a22=2, a12=1, a13=a21=a23=a31=a32=0, a33=3 minal asked Nov 27, 2016 minal 431 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Prashant. commented Nov 27, 2016 reply Follow Share a23 ? 1 votes 1 votes minal commented Nov 27, 2016 reply Follow Share added 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes Matrix looks like $\begin{bmatrix} 2 &1 &0 \\ 0& 2 &0 \\ 0 &0 & 3 \end{bmatrix}$ Solving this we get $\lambda$ = 2,2,3 [since lower triangular Matrix] Two linear independent solution i.e. for $\lambda$ = 2, and 3 Prashant. answered Nov 27, 2016 Prashant. comment Share Follow See 1 comment See all 1 1 comment reply minal commented Nov 28, 2016 reply Follow Share reason ? i mean if 3 distinct eigen values then there will be 3 linear independent eigen vector but in case of same eigen value there may or may not 3.. so why only 2 you are considering ... ? 0 votes 0 votes Please log in or register to add a comment.