Match List-I with List-II

List-I		List-II
a)	A matrix which is not a square matrix	i)	Symmetric matrix
b)	A square matrix \(A = A'\)	ii)	Null matrix
c)	The diagonal elements of a diagonal matrix are same	iii)	Rectangular matrix
d)	A matrix which is both symmetric and skew symmetric	iv)	Scalar matrix

a) A matrix which is not a square matrix has an unequal number of rows and columns, which is known as a rectangular matrix. (a \(\rightarrow\) iii)

b) A square matrix satisfying \(A = A'\) is defined as a symmetric matrix. (b \(\rightarrow\) i)

c) A diagonal matrix in which all the principal diagonal elements are equal is called a scalar matrix. (c \(\rightarrow\) iv)

d) If a matrix is both symmetric and skew-symmetric, then \(A = A'\) and \(A = -A'\). This implies \(A = -A\), which gives \(2A = 0\), so \(A\) is a null matrix. (d \(\rightarrow\) ii)

The correct matching is a - iii, b - i, c - iv, d - ii.

Answer: a - iii, b - i, c - iv, d – ii