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If m = [ array ll 1 & 0 0 & 1 array ] and n = [ array ll 0 & 1 -1 & 0 array ] , then what is the value of the determinant of m - n ?

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

aligned m -n & = [ array cc & 0 0 & array ]- [ array cc 0 & - & 0 array ] & = [ array cc & - & array ] aligned aligned & det. (m -n )= ^2 - (- ^2 ) & = ^2 + ^2 =1 aligned

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