Manipal MET2018MathematicsMatrices
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
- A(1,-2)
- B(-1,-4)
- C(1,3)
- D(1,-4)
Correct answer
D. (1,-4)
Step-by-step solution
aligned & [ array rrr a & 2 & 3 b & 5 & -1 array ] [ array rr 1 & 2 3 & 4 -1 & 1 array ] & = [ array ll a+6-3 & 2 a+8+3 b+15+1 & 2 b+20-1 array ] aligned [ array cc a+3 & 2 a+11 b+16 & 2 b+19 array ]= [ array cc 4 & 13 12 & 11 array ] (given) aligned & a+3=4 a=1 & and b+16=12 b=12-16=-4 aligned (a, b)=(1,-4)