MtxInverse

In this tutorial you will learn how to derive the inverse of a given 2 x 2 matrix. First of all, let me explain you the meaning of few more terms.

Unit value in the number system

In the number system we consider "1" as the unit value. The following are the properties of 1

• 1 x 7 = 7
• 6 x 1 = 6
• 1 x 8 = 8 x 1 = 8
• 2 x 1/2 = 2 x 2^-1 = 1
• 1/2 x 2^-1 = 1

In a similar manner, we can define a unit matrix.

Definition

What is a Unit Matrix? It is a square matrix. All the elements along the 'major' diagonal are equal to 1. All the remaining elements are equal to 0 We use "I" to represent a unit matrix.

• If A is any matrix and I is the unit matrix of the same order, then
  A x I = I x A = A

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