Let A be a matrix of order 3 × 4. If R_{1} denotes the first row of A and C_{2} denotes its second column, then determine the orders of matrices R_{1} and C_{2}.

Given A be a matrix of order 3 × 4.

So, A = [a_{i j}] _{3×4}

R_{1} = first row of A = [a_{11}, a_{12}, a_{13}, a_{14}]

So, order of matrix R_{1} = 1 × 4

C_{2} = second column of

Therefore order of C_{2} = 3 × 1

Find the values of a, b, c and d from the equations:

Find x, y, a and b if

Construct a 4 × 3 matrix A = [a_{i j}] whose elements a_{i j} are given by a_{i j} = i

Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by \( a_{i j} = \dfrac{(i – j)}{(i + j)}\)