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If [ array rrr a & 2 & 3 b & 5 & -1 array ] [ array rr 1 & 2 3 & 4 -1 & 1 array ]= [ array rr 4 & 13 12 & 11 array ],(a, b) is

Options

  1. A(1,-2)
  2. B(-1,-4)
  3. C(1,3)
  4. D(1,-4)

Correct answer

D. (1,-4)

Step-by-step solution

aligned & [ array ccc a & 2 & 3 b & 5 & -1 array ] [ array cc 1 & 2 3 & 4 -1 & 1 array ]= [ array cc a+6-3 & 2 a+8+3 b+15+1 & 2 b+20-1 array ] & [ array ll a+3 & 2 a+11 b+16 & 2 b+19 array ]= [ array cc 4 & 13 12 & 11 array ] (given) & a+3=4 a=1 & and b+16=12 b=12-16=-4 & (a, b)=(1,-4) aligned

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