Linear algebra-invertible matrices

Reference no: EM13125344

Let A be the real 2x2 matrix

[a b]

[c d]

with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form

[x 1]

[0 x]

where x is the eigenvalue of A.

Reference no: EM13125344

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