NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise
Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.1 Matrices:
Question 1. In the matrix A =NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2
Question 2. If a matrix has 24 elements, what are possible orders it can order? What, if it has 13 elements? Solution : We know that if a matrix is of the order m × n, it has mn elements. Thus, to find all the possible orders of a matrix having 24 elements, we have to find all the ordered pairs of natural numbers whose product is 24. The ordered pairs are: (1, 24), (24, 1), (2, 12), (12, 2), (3, 8), (8, 3), (4, 6), and (6, 4) Hence, the possible orders of a matrix having 24 elements are: 1 × 24, 24 × 1, 2 × 12, 12 × 2, 3 × 8, 8 × 3, 4 × 6, and 6 × 4 (1, 13) and (13, 1) are the ordered pairs of natural numbers whose product is 13. Hence, the possible orders of a matrix having 13 elements are 1 × 13 and 13 × 1.NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3
Question 3. If a matrix has 18 elements, what are the possible orders it can have? What if has 5 elements? Solution : We know that if a matrix is of the order m × n, it has mn elements. Thus, to find all the possible orders of a matrix having 18 elements, we have to find all the ordered pairs of natural numbers whose product is 18. The ordered pairs are: (1, 18), (18, 1), (2, 9), (9, 2), (3, 6,), and (6, 3) Hence, the possible orders of a matrix having 18 elements are: 1 × 18, 18 × 1, 2 × 9, 9 × 2, 3 × 6, and 6 × 3 (1, 5) and (5, 1) are the ordered pairs of natural numbers whose product is 5. Hence, the possible orders of a matrix having 5 elements are 1 × 5 and 5 × 1.NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4
Question 4. Construct a 2 x 2 matrix A = [a ij ] whose elements are given by: (i)CBSE Class 12th Toppers List 2024
(iii)NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.1 | NCERT Solutions for Class 12 Maths Chapter 2 Exercise 2.2 |
NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous Exercise |