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first i am given an all 1 matrix

and i was asked to find the eigenvalues

and the eigenvectors of this metrix

then i was told to find the orthonormal basis of this matrix

so i took the vectors that i have got

i made an gram shmidt formula on the two eigenvectors which came out of

the 0 eigenvalue and divided each vector of the resolt by its NORMA

after that i took the remainding third eigenvector and i divided him by his norma

is it ok??

(this is how i was told to solve this kind of question

but if a have only a simple matrix and i want to turn it into orthonormal

and i dont have such a relations between the columns as here(regarding the eigenvalues)

what should i do then??(this is only a subquestion not the main one)

then i was given an all "z" matrix

and i was told to proove that for each value of Z which belongs to the complex numbers "C" then its diagonizable

i dont know how to proove that

so if i put in z=0 then for this option i have only 2 vectors as i showed in the start

instead of the desiarble 3

so the answer that i think is z differs 0

i dont know how to proove what they want

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# Homework Help: A similar question on finding the values for which its digonolized

Can you offer guidance or do you also need help?

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