Exercise 3.1 Chapter 3 Class 12 Maths MATRIX Ncert Solutions

Question 1. In the matrix , write
(i) The order of the matrix, (ii) The number of elements,
(iii) Write the elements a₁₃, a₂₁, a₃₃, a₂₄, a₂₃.

Question 2. If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

Question 3. If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements ?

Question 4. Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by:
(i)a_ij=(i + j)²/2

Question 4. Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by:
(ii)a_ij=i/j

Question 4. Construct a 2 × 2 matrix, A = [a_ij], whose elements are given by:
(iii)a_ij=(i + 2j)²/2

Question 5. Construct a 3 × 4 matrix, whose elements are given by:
(i)a_ij=1/2| -3i + j |

Question 5. Construct a 3 × 4 matrix, whose elements are given by:
(ii)a_ij=2i - j

Question 6. Find the values of x, y and z from the following equations:
(i)

Question 6. Find the values of x, y and z from the following equations:
(ii)

Question 6. Find the values of x, y and z from the following equations:
(iii)

Question 7. Find the value of a, b, c and d from the equation:

Question 8.is a square matrix, if
(A) m < n (B) m > n (C) m = n (D) None of these

Question 9.Which of the given values of x and y make the following pair of matrices equal

Question 10. The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:

Exercise 3.2 Chapter 3 Class 12 Maths MATRIX Ncert Solutions

Question 1. LetFind each of the following:
(i) A + B (ii) A – B (iii) 3A – C

Question 1. LetFind each of the following:
(iv) AB (v) BA

Question 2. Compute the following:

Question 3. Compute the indicated products.

Question 4. If , then compute (A+B) and (B – C). Also, verify that A + (B – C) = (A + B) – C.

Question 5. If , then compute 3A – 5B.

Question 6. Simplify