Answer any 3 of the following questions. 1. Given det (A) = 5 where A= abcd]...

   

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Answer any 3 of the following questions. 1. Given det (A) = 5 where A= abcd] efgh i j k l [mnop] what is the value for det (B) where efgh i j k l B= abcd mnop 2. Solve the following system of linear equations. 2x1+5x2+3x3 = 5 x1+2x2+3x3 = 4 x1+8x3=9 3. Find Span({(1, 1, 1, 2), (1, 2, -1, 1), (0, 1, 1, 2)}). 4. Explain if (Z6, +,.) forms a field. Answer any 3 of the following questions. 1. Given det (A) = 5 where A= abcd] efgh i j k l [mnop] what is the value for det (B) where efgh i j k l B= abcd mnop 2. Solve the following system of linear equations. 2x1+5x2+3x3 = 5 x1+2x2+3x3 = 4 x1+8x3=9 3. Find Span({(1, 1, 1, 2), (1, 2, -1, 1), (0, 1, 1, 2)}). 4. Explain if (Z6, +,.) forms a field.