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Let Pbe a 2 × 2 real matrix such that every non-zero vector in ℝ2 is an eigenvector of P. Suppose that λ1 and λ2 denote the eigenvalues of Pand Pfor some t∈ ℝ. Which of the following statements is (are) TRUE?a)λ1 ≠ λ2b)λ1 λ2 = 2c)√2 is an eigenvalue of Pd)√3 is an eigenvalue of PCorrect answer is option 'B,C'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let Pbe a 2 × 2 real matrix such that every non-zero vector in ℝ2 is an eigenvector of P. Suppose that λ1 and λ2 denote the eigenvalues of Pand Pfor some t∈ ℝ. Which of the following statements is (are) TRUE?a)λ1 ≠ λ2b)λ1 λ2 = 2c)√2 is an eigenvalue of Pd)√3 is an eigenvalue of PCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let Pbe a 2 × 2 real matrix such that every non-zero vector in ℝ2 is an eigenvector of P. Suppose that λ1 and λ2 denote the eigenvalues of Pand Pfor some t∈ ℝ. Which of the following statements is (are) TRUE?a)λ1 ≠ λ2b)λ1 λ2 = 2c)√2 is an eigenvalue of Pd)√3 is an eigenvalue of PCorrect answer is option 'B,C'. Can you explain this answer?.

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