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Could someone please walk me through answering this question:

it looks easy but i forgot how to do it -__-

i did A - lamda I = 0, substituted lamda = 5, then my matrix became

0 4 4

0 -2 -2

0 -2 -2

so i put in the form of A|b where b was a zero vector and i row reduced, getting

0 1 1 | 0

0 0 0 | 0

0 0 0 | 0

and now i dont know what to do.

apparently the answer is {(1,0,0),(0,-1,1)}

any help please?

edit: there have been some silly errors to other solutions for this particular past paper, like a missing - sign. just a heads up in case the answer is a tad wrong.

it looks easy but i forgot how to do it -__-

i did A - lamda I = 0, substituted lamda = 5, then my matrix became

0 4 4

0 -2 -2

0 -2 -2

so i put in the form of A|b where b was a zero vector and i row reduced, getting

0 1 1 | 0

0 0 0 | 0

0 0 0 | 0

and now i dont know what to do.

apparently the answer is {(1,0,0),(0,-1,1)}

any help please?

edit: there have been some silly errors to other solutions for this particular past paper, like a missing - sign. just a heads up in case the answer is a tad wrong.

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