what is 2x2 = ? how can u prove so? write a equation on ur answer
Answers
Answer:
2x2=4
Inverse of a 2×2 Matrix
In this lesson, we are only going to deal with 2×2 square matrices. I have prepared five (5) worked examples to illustrate the procedure on how to solve or find the inverse matrix using the Formula Method.
Just to provide you with the general idea, two matrices are inverses of each other if their product is the identity matrix. An identity matrix with a dimension of 2×2 is a matrix with zeros everywhere but with 1’s in the diagonal. It looks like this.
It is important to know how a matrix and its inverse are related by the result of their product. So then,
If a 2×2 matrix A is invertible and is multiplied by its inverse (denoted by the symbol A−1), the resulting product is the Identity matrix which is denoted by II. To illustrate this concept, see the diagram below.
In fact, I can switch the order or direction of multiplication between matrices A and A−1, and I would still get the Identity matrix II. That means invertible matrices are commutative.