Question: 2. Answer the following questions. Justify your answer. (a) In M3x3(R), how many matrices are both diagonal and orthogonal? (b) In Maxn (R), how many

2. Answer the following questions. Justify your answer. (a) In M3x3(R), how many matrices are both diagonal and orthogonal? (b) In Maxn (R), how many matrices are both diagonal and orthogonal? (c) Consider A E M2x2(R). Under what conditions on a and b will A = atb b - a] a - b b ta be an orthogonal matrix

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