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Let Pbe an nxnnon-null real skew-symmetric matrix, where nis even. Which of the following statements is (are) always TRUE?a) Px= 0has infinitely many solutions, where 0 ∈ nb) Px= λxhas a unique solution for every non-zero λ∈ c) If Q= (In+ P)(In− P)−1, then QTQ= Ind) The sum of all the eigenvalues of Pis zeroCorrect answer is option 'B,C,D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared
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Let Pbe an nxnnon-null real skew-symmetric matrix, where nis even. Which of the following statements is (are) always TRUE?a) Px= 0has infinitely many solutions, where 0 ∈ nb) Px= λxhas a unique solution for every non-zero λ∈ c) If Q= (In+ P)(In− P)−1, then QTQ= Ind) The sum of all the eigenvalues of Pis zeroCorrect answer is option 'B,C,D'. Can you explain this answer?, a detailed solution for Let Pbe an nxnnon-null real skew-symmetric matrix, where nis even. Which of the following statements is (are) always TRUE?a) Px= 0has infinitely many solutions, where 0 ∈ nb) Px= λxhas a unique solution for every non-zero λ∈ c) If Q= (In+ P)(In− P)−1, then QTQ= Ind) The sum of all the eigenvalues of Pis zeroCorrect answer is option 'B,C,D'. Can you explain this answer? has been provided alongside types of Let Pbe an nxnnon-null real skew-symmetric matrix, where nis even. Which of the following statements is (are) always TRUE?a) Px= 0has infinitely many solutions, where 0 ∈ nb) Px= λxhas a unique solution for every non-zero λ∈ c) If Q= (In+ P)(In− P)−1, then QTQ= Ind) The sum of all the eigenvalues of Pis zeroCorrect answer is option 'B,C,D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let Pbe an nxnnon-null real skew-symmetric matrix, where nis even. Which of the following statements is (are) always TRUE?a) Px= 0has infinitely many solutions, where 0 ∈ nb) Px= λxhas a unique solution for every non-zero λ∈ c) If Q= (In+ P)(In− P)−1, then QTQ= Ind) The sum of all the eigenvalues of Pis zeroCorrect answer is option 'B,C,D'. Can you explain this answer? tests, examples and also practice IIT JAM tests.