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Answer the following general questions about matrix multiplication. If any question represents an impossible scenario, enter undefined as the answer. 1. Consider a matrix M
Answer the following general questions about matrix multiplication. If any question represents an impossible scenario, enter undefined as the answer. 1. Consider a matrix M R>:%. What is the number of rows that compose matrix M? (The matrix raised to the second power M2=M- M)? ' 2. Consider a matrix J/ R%-. What is the number of columns that compose matrix J0 (The matrix raised to the 20th power)? ' | 3. Suppose matrix A = B-C where |Bl = Sand C = B2. Calculate the value of 1Al (Hint: Recall the determinant notation and use the properties of determinants). ' ' 4. Suppose matrix G = ST wherelGl > Oand S & R419 (Hint: Notice that matrix G has a determinant and what it implies about its dimensions). Use this information to answer the questions below. It is possible for the same value (solution) to appear more than once. 1. Find the required value of m if T' R | ' 2. Find the required value of n if G R n.m ' ' 3. Find the required value of m if G R n,m
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