1. Find a vector 3 so that {1,2,3} are linearly independent. (1) 31 = 32 =...

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1. Find a vector 3 so that {1,2,3} are linearly independent. (1) 31 = 32 = 2. More important than finding a specific solution, can you describe a general procedure for solving the problem above? 3. Can you find the matrix Me R2 that stretches the plane away from the origin along the the line y = x? +7 Hint: Which vectors will be transformed by a scalar? That is, for which a is Ma = [stretch factor]z 1. Find a vector 3 so that {1,2,3} are linearly independent. (1) 31 = 32 = 2. More important than finding a specific solution, can you describe a general procedure for solving the problem above? 3. Can you find the matrix Me R2 that stretches the plane away from the origin along the the line y = x? +7 Hint: Which vectors will be transformed by a scalar? That is, for which a is Ma = [stretch factor]z

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1To find a vector z that makes x1 x2 x3 linearly independent we can use the following steps iFirst lets take the vectors x1 and x2 x1 1 1 1 x2 3 0 2 i... View the full answer