The matrix

has three distinct real eigenvalues if and only if . Find and .

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- Nov 28th 2009, 12:56 PMchewitardFinding a value in a matrix with distinct eigenvalues
The matrix

has three distinct real eigenvalues if and only if . Find and . - Nov 28th 2009, 01:16 PMtonio

1) Calculate the characteristic polynomial of A ;

2) A polynomial has a multiple root iff ;

3) Using the above check what could be be the possible multiple roots of the char. pol. of A and what have to be the values of k that'd allow such a thing to happen.

Tonio