Question: 3. (7 pt) We say that A is an isometry if it preserves Encledian distance, e.g. for all ||AX||2 = ||X||2 c d following properties:

3. (7 pt) We say that A is an isometry if it preserves Encledian distance, e.g. for all ||AX||2 = ||X||2 c d following properties: Let A = [a b] be an arbitrary 2 x 2 matrix. Find the set of all A E RQXQ that satisfy both 0 A is an isometry. o All entries along the main diagonal are strictly positive. 4. (2 pt) Hence, or otherwise, nd an isometic matrix such that the top left entry of the matrix is neither zero nor one

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