RD Sharma Class 12 Solutions Chapter 5 Algebra of Matrices Exercise 5.1 (Updated for 2024)

RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1: The subject experts at Kopykitab solve problems on Equality of Matrices of two matrices in RD Sharma Solutions Exercise. Our faculty mostly works to make Mathematics easier for students based on their grasping ability. Regular practise is the only way for students to grasp the ideas covered in Maths Class 12, and they can use the PDF as a reference while solving. Here you will find RD Sharma Solutions for Class 12 Maths Chapter 5 Algebra of Matrices Exercise 5.1.

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RD Sharma Solutions Class 12 Maths Chapter 5 Exercise 5.1

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 5 – Algebra of Matrices Exercise 5.1 Important Questions With Solution

1. If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements?

Solution:

If a matrix is of order m × n elements, it has m n elements. So, if the matrix has 8 elements, we will find the ordered pairs m and n.

m n = 8

Then, ordered pairs m and n will be

m × n be (8 × 1),(1 × 8),(4 × 2),(2 × 4)

Now, if it has 5 elements

Possible orders are (5 × 1), (1 × 5).

Solution:

(i)

Now, Comparing with equation (1) and (2)

a₂₂ = 4 and b₂₁ = – 3

a₂₂ + b₂₁ = 4 + (– 3) = 1

(ii)

Now, Comparing with equation (1) and (2)

a₁₁ = 2, a₂₂ = 4, b₁₁ = 2, b₂₂ = 4

a₁₁ b₁₁ + a₂₂ b₂₂ = 2 × 2 + 4 × 4 = 4 + 16 = 20

3. Let A be a matrix of order 3 × 4. If R₁ denotes the first row of A and C₂ denotes its second column, then determine the orders of matrices R₁ and C₂.

Solution:

Given A be a matrix of order 3 × 4.

So, A = [a_{i j}] _3×4

R₁ = first row of A = [a₁₁, a₁₂, a₁₃, a₁₄]

So, order of matrix R₁ = 1 × 4

C₂ = second column of

Therefore order of C₂ = 3 × 1

Access other exercises of RD Sharma Solutions For Class 12 Chapter 5 

• RD Sharma Class 12 Maths Exercise 5.2 Solutions
• RD Sharma Class 12 Maths Exercise 5.3 Solutions
• RD Sharma Class 12 Maths Exercise 5.4 Solutions
• RD Sharma Class 12 Maths Exercise 5.5 Solutions

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