Let A = M (f) be the matrix associated with the linear map f((x,y,z)) = (x-2y,y+z,0)...

  

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Let A = M (f) be the matrix associated with the linear map f((x,y,z)) = (x-2y,y+z,0) relative to the bases B v= (0,2,1), w=(2,1,0) }and B'= {u'= (0,0,2); v'= (1,0,3); w=(1,3,1) } Then the first column of A is: B={u=(1,0,3); 1/2 0 D - 1/2 1/2 1/2 O -1/2 1/2 -1/2 1/2 O 10 1 - 1/0 Sem poka The coordinate vector of the vector (1,2,2) in the basis B=(u= (1,1,1); v= (1,0,1); w=(0,0,1) } is: O^ (1,2,2) OB (1,2,-1) 0(2,-1,1) OP (2,1,3) Let A = M (f) be the matrix associated with the linear map f((x,y,z)) = (x-2y,y+z,0) relative to the bases B v= (0,2,1), w=(2,1,0) }and B'= {u'= (0,0,2); v'= (1,0,3); w=(1,3,1) } Then the first column of A is: B={u=(1,0,3); 1/2 0 D - 1/2 1/2 1/2 O -1/2 1/2 -1/2 1/2 O 10 1 - 1/0 Sem poka The coordinate vector of the vector (1,2,2) in the basis B=(u= (1,1,1); v= (1,0,1); w=(0,0,1) } is: O^ (1,2,2) OB (1,2,-1) 0(2,-1,1) OP (2,1,3)

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