Consider the vector space M22 formed by 2x2 matrices. We define the following inner product: =A1B1...

  

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Consider the vector space M22 formed by 2x2 matrices. We define the following inner product: =A1B1 + A2B2 + A3B3+ A4B4 where A= -[11] and B= [B, B B, B are vectors of M22 Now, considering the following 3 vectors: [1 2 B= and C a- Compute the norms of A and B and the distance between them. b- Find the angle between B and C .What do you conclude from the result? c- Find the vector projection of A along B. Consider the vector space M22 formed by 2x2 matrices. We define the following inner product: =A1B1 + A2B2 + A3B3+ A4B4 where A= -[11] and B= [B, B B, B are vectors of M22 Now, considering the following 3 vectors: [1 2 B= and C a- Compute the norms of A and B and the distance between them. b- Find the angle between B and C .What do you conclude from the result? c- Find the vector projection of A along B.