Mathematics Exam  >  Mathematics Questions  >  Let S = {T: R3 → R3; T is a linear trans... Start Learning for Free
Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S is 
  • a)
    an uncountable set
  • b)
    a singleton set 
  • c)
    a finite set containing more than one element 
  • d)
    a countable infinite set 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1...
Here, L.T. is T : R3 → R3 s.t.
T (1, 0) = (1, 2, 3)
T (1, 2, 3) = (1, 0, 1)
We can define a transformation for the third in depend vector in any way. So accordingly we get infinitely many linear transformations.
View all questions of this test
Most Upvoted Answer
Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1...
The given statement is incomplete. Could you please provide the complete statement?
Explore Courses for Mathematics exam
Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer?
Question Description
Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. 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 S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. 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 S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let S = {T: R3 → R3; T is a linear transformation with T (1, 0, 1) = (1, 2, 3) and T (1, 2, 3) = (1, 0, 1). Then S isa)an uncountable setb)a singleton setc)a finite set containing more than one elementd)a countable infinite setCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev