Question: Let A be a 100 100 matrix and B a 100 50 matrix. Are the following expressions defined or not? A + B,

Let A be a 100 × 100 matrix and B a 100 × 50 matrix. Are the following expressions defined or not? A + B, A², B², AB, BA, AA^T, B^TA, B^TB, BB^T, B^TAB. Give reasons.

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