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AP EAMCET202123 Aug 2021Evening ShiftMathematicsMatricesActual

What are the values of (x, y, z, t) , where 3 [ array ll x & y z & t array ]= [ array cc x & 6 -1 & 2 t array ]+ [ array cc 4 & x+y z+t & 3 array ]=?

Options

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

Correct answer

B. (2,4,1,3)

Step-by-step solution

3 [ array ll x & y z & t array ]= [ array cc x & 6 -1 & 2 t array ]+ [ array cc 4 & x+y z+t & 3 array ] [ array cc 3 x & 3 y 3 z & 3 t array ]= [ array cc x+4 & 6+x+y -1+z+t & 2 t+3 array ] On compairing two matrices are equal iff their corresponding elements are equal (x, y, z, t)=(2,4,1,3)

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