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Given the information in the picture: (i) Please show me how to find an invertible matrix ? ? S ? ? and a diagonal matrix

Given the information in the picture:

(i) Please show me how to find an invertible matrix ??S?? and a diagonal matrix ????? for which ??A=S?S?1?? .

(ii) Can you explain why ??A?? is invertible (without explicitly computing ??A?? or ??A?1?? ).

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