RD Sharma Solutions For Class 12 Maths Exercise 5.4 Chapter 5 Algebra of Matrices

In order to excel in the CBSE exam for Class 12, students can use the solutions of Exercise 5.4 available on the website. By practising regularly the students can obtain worthy results in the Class 12 exams by using the RD Sharma Solutions. The PDF of solutions of exercise 5.4 primarily helps students from the exam point of view. This exercise mainly contains solved problems based on the concept of symmetric and skew-symmetric matrices. RD Sharma Solutions for Class 12 Maths Chapter 5 Algebra of Matrices Exercise 5.4 are provided here.

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Exercise 5.1 Solutions

Exercise 5.2 Solutions

Exercise 5.3 Solutions

Exercise 5.5 Solutions

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 5 – Algebra of Matrices Exercise 5.4

(i) (2A)^T = 2 A^T

(ii) (A + B)^T = A^T + B^T

(iii) (A – B)^T = A^T – B^T

(iv) (AB)^T = B^T A^T

Solution:

(i) Given

Consider,

Put the value of A

L.H.S = R.H.S

(ii) Given

Consider,

L.H.S = R.H.S

Hence proved.

(iii) Given

Consider,

L.H.S = R.H.S

(iv) Given

So,

Solution:

Given

L.H.S = R.H.S

So, 

(i) A + B)^T = A^T + B^T

(ii) (AB)^T = B^T A^T

(iii) (2A)^T = 2 A^T

Solution:

(i) Given

Consider,

L.H.S = R.H.S

So, 

(ii) Given

Consider,

L.H.S = R.H.S

So, 

(iii) Given

Consider,

L.H.S = R.H.S

So,

Solution:

Given

Consider,

L.H.S = R.H.S

So,

Solution:

Given

Now we have to find (AB)^T

So,