Question: Please answer all !!! Consider the following matrices. 3 2 0 2 1 1 0 A=_ 3:3 1 0 1 2 200 Perform the indicated

Please answer all !!!

Consider the following matrices. 3 2 0 2 1 1 0 A=_ 3:3 1 0 1 2 200 Perform the indicated operations, if defined. 5 h (C) 3AB 5D (60 D(C + B) Use the properties and procedure for matrix multiplication to answer each question. (a) Suppose A = 0 3 and AB 2 - . Find all the components of the 2 x 2 matrix B. (b) Suppose the second column of a 3 x 3 matrix B contains all zeros. What can be said about the product AB for any 2 x 3 matrix A? Use an example to illustrate. () Suppose that A and B are nonsquare matrices. Under what conditions are both AB and BA defined? Could the nonsquare matrices be defined so that AB = BA?The following table gives a companies the total retail prot for two products over three months after sales and manufacturing costs. Total retail sales (in thousands of dollars) Product A Product B (8) Express the data from the table as a matrix S. (b) 1 Find and interpret the product 5 1 1

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