# RD Sharma Class 12 Ex 5.5 Solutions Chapter 5 Algebra of Matrices

Here we provide RD Sharma Class 12 Ex 5.5 Solutions Chapter 5 Algebra of Matrices for English medium students, Which will very helpful for every student in their exams. Students can download the RD Sharma Class 12 Ex 5.5 Solutions Chapter 5 Algebra of Matrices book pdf download. Now you will get step-by-step solutions to each question.

## RD Sharma Class 12 Ex 5.5 Solutions Chapter 5 Algebra of Matrices

### Question 1: Solution:

Given:

Consider,

From equation (1) and (2) it can be seen that,

A skew-symmetric matrix is a square matrix whose transpose equal to its negative, that is,

X = −XT

So, A − AT is a skew-symmetric.

### Question 2: Solution:

Given:

Consider,

From equation (1) and (2) it can be seen,

A skew-symmetric matrix is a square matrix whose transpose equals its negative, that is,

X = −XT

Thus, A − AT is a skew-symmetric matrix.

### Question 3: Solution:

Given:

As we know that A = [aij]m×n is a symmetric matrix if aij = aji

Thus,

x = a13 = a31 = 4

y = a21 = a12 = 2

z = a22 = a22 = z

t = a32 = a23 = −3

Hence, x = 4, y = 2, t = −3 and z can have any value.

### Questiion 4: Solution:

Given:

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