Answering the question “a 1 1 a” can be quite complex and confusing. In this article, I will explain why a^{-1} is equal to 1/a.

## What is the Question?

Why is a^{-1} equal to 1/a?

## The Answer

The answer lies in the concept of a **multiplicative inverse**. This is a number that, when multiplied with a given number, results in a product of 1. In the case of a^{-1}, the multiplicative inverse is 1/a.

It is important to note that this relationship holds true only when A is a **nonsingular matrix**. That is, a matrix whose inverse exists. If A and B are nonsingular matrices, then AB is also nonsingular, and (AB)^{-1} = B^{-1}A^{-1}. This is equivalent to the statement that a^{-1}*a = 1, as the multiplicative inverse is the number you multiply by to get the multiplicative identity of 1.

To better understand this concept, it may be helpful to visualize it with a **math solver**. A math solver can help you solve equations by providing step-by-step solutions for the problem. This can be particularly useful for those who may not be comfortable with the mathematics behind this concept.

Ultimately, the concept of a^{-1} being equal to 1/a holds true only when A is a nonsingular matrix. For more information, check out HostsRated.com, a great resource for answers to your web hosting questions.