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If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
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If the linear transformation T(v) = Av rotates the vectors (-1, 0) and...
We are given that the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians. We need to find the matrix A.
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
Most Upvoted Answer
If the linear transformation T(v) = Av rotates the vectors (-1, 0) and...
We are given that the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians. We need to find the matrix A.
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
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Community Answer
If the linear transformation T(v) = Av rotates the vectors (-1, 0) and...
We are given that the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians. We need to find the matrix A.
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
We know that if a vector (a, b) is rotated through an angle a clockwise under T. Then
Here, (a, b) = (-1, 0) and a = π/2
Therefore, T (-1, 0)
= (0, 1) = 0(-1, 0) + 1(0, 1)
and (a, b) = (0,1), α = π/2
= (1, 0) = - 1(-1, 0) + 0(0, 1)
Therefore, the matrix of T is A =
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If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. 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 If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. Can you explain this answer?.
If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. 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 If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the linear transformation T(v) = Av rotates the vectors (-1, 0) and (0, 1) clockwise π/2 radians then:a)b)c)d)Correct answer is option 'B'. Can you explain this answer?.
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