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If A = 1 1 3 5 2 6 - 2 - 1 - 3 , where A x = O (where, O is a null matrix and x < 15 , x ∈ N ), then which of the following is true?

Options

  1. AGreatest value of x is 13
  2. BSum of the values of x is 102
  3. CDifference between the largest and the smallest value of x is 10
  4. DNumber of values of x is 7

Correct answer

B. Sum of the values of x is 102

Step-by-step solution

A 2 = 1 1 3 5 2 6 - 2 - 1 - 3 1 1 3 5 2 6 - 2 - 1 - 3 = 0 0 0 3 3 9 - 1 - 1 - 3 A 3 = A 2 A = 1 1 3 5 2 6 - 2 - 1 - 3 0 0 0 3 3 9 - 1 - 1 - 3 = 0 0 0 0 0 0 0 - 1 0 = O A 4 = A 5 = A 6 = … … A 14 = O x ∈ 3 , 4 , 5 , 6 , … … 14

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