Jinesh Jain posted an Question
June 14, 2022 • 00:01 am 30 points
  • IIT JAM
  • Mathematics (MA)

(6) let a be ann xnmatrix. suppose ax = 0 has a nontrivial solution x=u, then show that u is an eigen vector of a. (7) suppose 0 is an eigen value of square mat

(6) Let A be ann xnmatrix. Suppose AX = 0 has a nontrivial solution X=u, then show that u is an Eigen vector of A. (7) Suppose 0 is an Eigen value of square matrix A. Show that AX =0 has a non trivial solution.

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