Construct a 3 × 4 matrix, whose elements are given by:

In general 3 × 4 matrix is given by A =

aij = 2i-j, i = 1,2,3 and j = 1,2,3,4


Therefore,


a11 = 2 × 1 - 1 = 2 - 1 = 1


a21 = 2 × 2 - 1 = 4 - 1 = 3


a31 = 2 × 3 - 1 = 6 - 1 = 5


a12 = 2 × 1 - 2 = 2 - 2 = 0


a22 = 2 × 2 - 2 = 4 - 2 = 2


a32 = 2 × 3 - 2 = 6 - 2 = 4


a13 = 2 × 1 - 3 = 2 - 3 = -1


a23 = 2 × 2 - 3 = 4 - 3 = 1


a33 = 2 × 3 - 3 = 6 - 3 = 3


a14 = 2 × 1 - 4 = 2 - 4 = -2


a24 = 2 × 2 - 4 = 4 - 4 = 0


a34 = 2 × 3 - 4 = 6 - 4 = 2


Therefore, required matrix is A =


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