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AP EAMCET201824 Apr 2018Morning ShiftMathematicsMatricesActual

Let matrix A= [ array ccc 5 & -3 & 0 -3 & 5 & 0 0 & 0 & 2 array ], X be a non zero matrix of order 3 1 and c be a real number. If A^2 X=c A X , then the number of distinct values of c is

Options

  1. A3
  2. B2
  3. C1
  4. D0

Correct answer

B. 2

Step-by-step solution

Given, aligned A^2 x & =c A x A A x & = c aligned A x c is eigen value of A . Eigen value of A are 8,2,2 Therefore, number of values of c is 2 .

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