Construct a 2 2 matrix, A = [a ij ], whose elements are given by: The formula for matrix element a_ij is given as a_ij = (i+j)^2 / 2.

In general, a 2 × 2 matrix is given by A = aij = Therefore,a11 = a12 = a21 = a22 = Therefore, the required matrix is A =

Q4 of 108 Page 64

Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by:

In general, a 2 × 2 matrix is given by A =

a_ij =

Therefore,

a₁₁ =

a₁₂ =

a₂₁ =

a₂₂ =

Therefore, the required matrix is A =

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by: