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where y is an unknown real number. His friend named Al then asked him the following questions about this matrix : (a) For which

  

where y is an unknown real number. His friend named Al then asked him the following questions about this matrix : (a) For which possible values of parametery, can we be sure that the matrix G will only have non-zero eigenvalues. (b) If all the eigenvalues of G are known to be positive then what is the possible range of values that parameter y can take. Derive answer to the questions asked by A1. [4 Marks] 2 G7 2 0 0 2

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