Question

1 0 0
0 1 1
0 1 1
thts the matrix to diagonalize.... :(...plzzzz i need help or m dead

Answer 1

\[\left(\begin{array} \\1&0&0\\0&1&1\\0&1&1\end{array}\right)\]

Answer 2

are you sure it Can be diagonalized?

Answer 3

i dnt know...m so confused...my eigen roots are 1 , 2 , 0...i cnt solve it for eigen vectors to find P matrix :'(

Answer 4

its rank is 2,i don't think its possible to diagonalise it

Answer 5

As long as the eigenvalues are distinct, it is possible to diagonalize. If you are getting eigenvalues of 1, 2 and 0, its good. Now you need to find a basis for the Null Space (or Kernel) of the matrix:\[A-\lambda I\] by plugging each eigenvalue into lambda and row reducing.

Answer 6

thaaannxxx

Answer 7

Heres how to find the eigenvector when lambda is 2, the others are worked out similarly.

Answer 8

when we try to find the eigenvectors we can't

Answer 9

The poster has the correct eigenvalues.

Answer 10

Oh I forgot that 1 hehehe yeah you are right.

Answer 11

How did you type it up so fast?

Answer 12

I use a program called Lyx. for me a little faster than typing things on here. Ive been using it for a little over a year though.

Answer 13

does it use latex ?

Answer 14

or is it just hotkeys?

Answer 15

it uses latex, so if you know latex youre pretty much good to go. The hotkeys are there though if you dont know some stuff.