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Let be a complex number such that 1 and ^5=1 . Let A= ( array lll 0 & 0 & 0 & & 0 & 0 & 0 array ) and I denote the identity matrix. Then the value of I+A+A^2+A^3+A^4 is

Options

  1. A(1+ ^2+ ^4 ) ( array ccc 1 & 0 & -1 0 & 0 & 0 -1 & 0 & 1 array )
  2. B(1+ ^2 ) ( array ccc 1 & 0 & -1 0 & 0 & 0 -1 & 0 & 1 array )
  3. C(1+ ^2+ ^4 ) ( array ccc -1 & 0 & 1 0 & 0 & 0 1 & 0 & -1 array )
  4. D(1+ ^2+ ^4 ) ( array ccc -1 & 0 & 1 0 & 1 & 0 1 & 0 & -1 array )

Correct answer

A. (1+ ^2+ ^4 ) ( array ccc 1 & 0 & -1 0 & 0 & 0 -1 & 0 & 1 array )

Step-by-step solution

No solution available.

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