Mathematics Exam > Mathematics Questions > Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), th...
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Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2 → R2 are there such that 
Correct answer is '3'. Can you explain this answer?
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Verified Answer
Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transf...
Since a linear transformation T : R2 → R2
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
Most Upvoted Answer
Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transf...
Since a linear transformation T : R2 → R2
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
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Community Answer
Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transf...
Since a linear transformation T : R2 → R2
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
defined as
⇒ T is cyclic linear transformation
where v1 = (1,0) v2 = (1,-1) v3 = (0,1)
here by {v1,v2,v3} we can get three sets of basis for R2
if we take {v1,v2} as the basis ad to determine linear transformation.
if we take {v2,v3} as the basis on determining linear transformation
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Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer?
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Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer?.
Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let v1 = (1,0) v2 = (1,-1) and v3 = (0,1), then how many linear transformations T : R2→R2 are there such thatCorrect answer is '3'. Can you explain this answer?.
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