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Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?
  • a)
    Where at least one vector satisfies
  • b)
  • c)
    Where at least one vector satisfies
  • d)
    No relationship can be established between
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1...
P be a 2×2 real orthogonal matrix
= [x1 x2] be a real vector
Magnitude or length
For orthogonal matrix P,
PPT = PTP = 1
P2 × 2 & 2x1
hence,
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Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?a) Where at least one vector satisfies b)c) Where at least one vector satisfies d)No relationship can be established between Correct answer is option 'B'. Can you explain this answer?
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Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?a) Where at least one vector satisfies b)c) Where at least one vector satisfies d)No relationship can be established between Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?a) Where at least one vector satisfies b)c) Where at least one vector satisfies d)No relationship can be established between Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let P be a 2 ×2 real orthogonal matrix and is a real vector [x1, x2]T with length Then, which one of the following statements is correct?a) Where at least one vector satisfies b)c) Where at least one vector satisfies d)No relationship can be established between Correct answer is option 'B'. Can you explain this answer?.
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