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.

Textbook | NCERT |

Class | Class 12th |

Subject | Maths |

Chapter | 5 |

Exercise | 5.5 |

Category | RD Sharma Solutions |

**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 = −X^{T}

So, A − A^{T} 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 = −X^{T}

Thus, A − A^{T} is a skew-symmetric matrix.

**Question 3: **

**Solution:**

Given:

As we know that A = [a_{ij}]_{m×n} is a symmetric matrix if a_{ij} = a_{ji}

Thus,

x = a_{13} = a_{31} = 4

y = a_{21} = a_{12} = 2

z = a_{22} = a_{22} = z

t = a_{32} = a_{23} = −3

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

**Questiion 4: **

**Solution:**

Given:

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