Question: 1. (10 points) Recall that Mnn(R) is the vector space of n n matrices with real coefficients. Let A and B be two given n

1. (10 points) Recall that Mnn(R) is the vector space of n n matrices with real coefficients. Let A and B be two given n n matrices such that B is invertible. Is the set {X Mnn(R) | AXB1 = X} a vector space? Justify your

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