Akash Babu posted an Question
October 03, 2022 • 10:04 am 30 points
  • CSIR NET
  • Mathematical Sciences

14. let a be a real nxn orthogonal matrix, that is, a'a = aa' - i,, the nxn identily matrix. which of the following statements are necessarily true? (a)(ax,ay)=

14. Let A be a real nxn orthogonal matrix, that is, A'A = AA' - I,, the nxn identily matrix. Which of the following statements are necessarily true? (a)(Ax,Ay)= (%9) Vx.y eR All eigenvalues of A are either+1 or-1 (b) (c) The rows of A form an orthonormal basis of R (d) Ais diagonalizable over R (Dec. 2014 (4.75 Marks)]

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