In the matrix \( \begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt{3}& 1 & -5 & 17 \end{bmatrix}\), write:
(i) The order of  the matrix
(ii) The number of elements
(iii) Write the elements a₁₃, a₂₁, a₃₃, a₂₄, a₂₃

Steps:

(i) Since, in the given matrix, the number of rows is 3 and the number of columns is 4,

the order of the matrix is 3 × 4.

(ii) Since the order of the matrix is 3 × 4,

there are 3 × 4 = 12 elements.

(iii) Here,

a₁₃ = 19
a₂₁ = 35
a₃₃ = -5
a₂₄ = 12
a₂₃ = 5/2

NCERT Solutions for Class 12 Maths - Chapter 3 Exercise 3.1 Question 1

In the matrix \( \begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt{3}& 1 & -5 & 17 \end{bmatrix}\), write: (i) The order of  the matrix (ii) The number of elements (iii) Write the elements a₁₃, a₂₁, a₃₃, a₂₄, a₂₃

Summary:

For the given matrix, the order of the matrix is 3 × 4, there are 3 × 4 = 12 elements.a₁₃ = 19 a₂₁ = 35 a₃₃ = -5 a₂₄ = 12 a₂₃ = 5/2