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# If Bis the standard basis of the space Pa polyncmials then let B={1,t,4,+} Use coordinate vectors test the linear independence of the set of polynomials below Expla...

## Question

###### If Bis the standard basis of the space Pa polyncmials then let B={1,t,4,+} Use coordinate vectors test the linear independence of the set of polynomials below Explain your work1+812 _ 0,t+20 , 1+t+ 812Write Ihe coordinate vecior for Ihe polynomial 822 _ ? ODDO Write Ihe coordinate vector for the polynomial t + 2t? ODDD Write the coordinate vector for the polynomial ~t+8t2To test the linear independence of the set of polynomials, row reduce the matnx which formied Dy making each coorainate vector

If Bis the standard basis of the space Pa polyncmials then let B={1,t,4,+} Use coordinate vectors test the linear independence of the set of polynomials below Explain your work 1+812 _ 0,t+20 , 1+t+ 812 Write Ihe coordinate vecior for Ihe polynomial 822 _ ? ODDO Write Ihe coordinate vector for the polynomial t + 2t? ODDD Write the coordinate vector for the polynomial ~t+8t2 To test the linear independence of the set of polynomials, row reduce the matnx which formied Dy making each coorainate vector column of the matrix possible vrte the matrix in reduced echelon form; Are the polynomials linearty independent? Since the matrix does not have pivot in each column, its columns (and thus the given polynomials) are not linearly independent Since the matrix has pivot in each column;its columns (and thus the given polyncmials) are not linearly independent Since the matrix has _ pivot in each column its columns (and thus tne given polyncmials) are linearly independent 0 D. Since the matrix does not have pivot in each column; its columns (and thus the given polynomials) are linearly independent

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