Any given **square matrix A** is said to be **Invertible** if its inverse exists. In other words, we can say that **square matrix A** is said to be **Invertible** if there exists another **square matrix B** such that where **I is an identity matrix** of same order as of A and B.

## What is Involutory Matrix?

## Video Tutorial: What is Nilpotent Matrix?

## Determinant of Matrix is equal to Determinant of its Transpose

**Determinant** of any **square matrix** is equal to **determinant** of its **transpose**. Lets take an example of any **square matrix** and find value of its **determinant**. Then transpose this matrix and again find value of **determinant** of **transpose** of **matrix**. We will note that **determinant** of **matrix** is equal to **determinant** of its **transpose**.

## What is symmetric and skew-symmetric matrix?

**What is a Symmetric Matrix?**

A **square Matrix A** is said to be **symmetric** if **for all i and j, where is an element present at position ( row and column in ****matrix A**) and is an element present at position ( row and column in **matrix A**).

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