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Let be a linear transformation defined by T(x, y, z) = (x + y - z, x + z, y - z) then the matrix of the linear transformation T with respect to ordered basis β = {(0,1,0), (0,0,1), (1,0,0)} of is 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let be a linear transformation defined byT(x, y, z) = (x + y - z, x +...
T(0,1,0)=(1,0,1)=0(0,1,0)+1(0,0,1)+1(1,0,0)
T(0,0,1)=(-1,1,-1)=1(0,1,0)-1(0,0,1)-1(1,0,0)
T(1,0,0)=(1,1,0)=1(0,1,0)+0(0,0,1)+1(1,0,0)
so, the matrix should be
column wise (0,1,1),(1,-1,-1),(1,0,1)
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Let be a linear transformation defined byT(x, y, z) = (x + y - z, x + z, y - z)then the matrix of the linear transformation T with respect to ordered basis β = {(0,1,0), (0,0,1), (1,0,0)} of isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let be a linear transformation defined byT(x, y, z) = (x + y - z, x + z, y - z)then the matrix of the linear transformation T with respect to ordered basis β = {(0,1,0), (0,0,1), (1,0,0)} of isa)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let be a linear transformation defined byT(x, y, z) = (x + y - z, x + z, y - z)then the matrix of the linear transformation T with respect to ordered basis β = {(0,1,0), (0,0,1), (1,0,0)} of isa)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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