KCET2026MathematicsMatrices
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
Options
- Aa - iii, b - i, c - ii, d – iv
- Ba - iii, b - ii, c - iv, d – i
- Ca - iii, b - i, c - iv, d – ii
- Da - iii, b - iv, c - i, d – ii
Correct answer
C. a - iii, b - i, c - iv, d – ii
Step-by-step solution
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 iii) b) A square matrix satisfying A = A' is defined as a symmetric matrix. (b i) c) A diagonal matrix in which all the principal diagonal elements are equal is called a scalar matrix. (c 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 ii) The correct matching is a - iii, b - i, c - iv, d