Consider the functionT:R3→R3defined byT(x,y,z) = (3x,x−y,2x+y+z).(i) Prove thatTis a linear transformation. (T’nin bir lineer d ̈on...

Consider the functionT:R3→R3defined byT(x,y,z) = (3x,x−y,2x+y+z).(i) Prove thatTis a linear transformation. (T’nin bir lineer d ̈on ̈u ̧s ̈um oldu ̆gunu g ̈osteriniz)(ii) Find the representing matrix ofTrelative to the basisβ={α1= (1,0,0),α2= (1,1,0),α3=(1,1,1)}ofR3.(R3 ̈unβ={α1= (1,0,0),α2= (1,1,0),α3= (1,1,1)}tabanına g ̈oreTnin matris g ̈osterimini bulunuz.)

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milcah answered 1 year ago

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