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Let A= [ array ll 1 & 2 0 & 1 array ] and B=I+ adj (A)+( adj A)^2+ +( adj A)¹⁰ . Then, the sum of all the elements of the matrix B is:

Options

  1. A-124
  2. B22
  3. C-88
  4. D-110

Correct answer

C. -88

Step-by-step solution

aligned & B = [ array ll 1 & 0 0 & 1 array ]+ [ array cc 1 & -2 0 & 1 array ]+ [ array cc 1 & -4 0 & 1 array ]+ + [ array cc 1 & -20 0 & 1 array ] & B = [ array cc 11 & -110 0 & 11 array ] sum of elements of B & =-88 aligned

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