Let a = (1,2,1) 5 =(2,1,0) = (1, -2,2). They would form a basis if they...

 

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Let a = (1,2,1) 5 =(2,1,0) = (1, -2,2). They would form a basis if they are Linearly Independent vectors. |1 2 Consider the determinant: A = 2 1 1 -2 21 Hence the given vectors areLinearly Independent vectors. They form a basis for R3. 11 02-8-5-11 # 0 Let a = (1,2,1) 5 =(2,1,0) = (1, -2,2). They would form a basis if they are Linearly Independent vectors. |1 2 Consider the determinant: A = 2 1 1 -2 21 Hence the given vectors areLinearly Independent vectors. They form a basis for R3. 11 02-8-5-11 # 0

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Solution FORMULA TO BE IMPLEMENTED LINEARLY DEPENDENT A set of vectors u v w are said to be linearly dependent if there exists three scalers a b c not ... View the full answer