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G=20202 where is an unknown real number. His friend named A1 then asked him the following questions about this matrix : (a) For which possible

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G=20202 where is an unknown real number. His friend named A1 then asked him the following questions about this matrix : (a) For which possible values of parameter , 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 can take. Derive answer to the questions asked by A1. [4 Marks]

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