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The 2 × 2 real symmetric matrix A has two distinct eigenvalues, λ1 and λ2. If v1 = (1, 2) is an eigenvector of A corresponding to the eigenvalue λ1, determine an eigenvector corresponding to λ2.

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2 equations 3 unknowns, .. .all the terms of the matrix can be expressed as single variable.
sorry i guess that not easy solving for whole family of matrices, is any info given about the eigen values?

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Nothing any other details.. ...If you have second check this out and help mee!!!!1
I got the point.....thanks a lots.....

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