## Question

###### Given the set WcR', W={ (a,b, C,d) â‚¬R4| a-2b+c-4d=0}. Determine whether W is subspace of the vector space R4 or not: ii) Find basis for W and find dim(W). iii) Construct basis for R4 containing the basis that is obtained in part (ii) .Note: Write all your calculations and steps ofyour solution in details to the below empty field_

Given the set WcR', W={ (a,b, C,d) â‚¬R4| a-2b+c-4d=0}. Determine whether W is subspace of the vector space R4 or not: ii) Find basis for W and find dim(W). iii) Construct basis for R4 containing the basis that is obtained in part (ii) . Note: Write all your calculations and steps ofyour solution in details to the below empty field_

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