Q5 of 124 Page 154

Construct a 3 × 2 matrix whose elements are given by a_ij = (2i – j).

Given: a_ij = (2i – j)

Now, a₁₁ = (2 × 1 – 1) = 2 – 1 = 1

a₁₂ = 2 × 1 – 2 = 2 – 2 = 0

a₂₁ = 2 × 2 – 1 = 4 – 1 = 3

a₂₂ = 2 × 2 – 2 = 4 – 2 = 2

a₃₁ = 2 × 3 – 1 = 6 – 1 = 5

a₃₂ = 2 × 3 – 2 = 6 – 2 = 4

Therefore,

If a matrix has 18 elements, what are the possible orders it can have?

Find all possible orders of matrices having 7 elements.

Construct a 4 × 3 matrix whose elements are given by

Construct a 2 × 2 matrix whose elements are

Construct a 3 × 2 matrix whose elements are given by aij = (2i – j).