Q. 5 B4.6( 42 Votes )

# 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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