Identity Matrix
Identity Matrix
Definition of Identity Matrix
More about Identity Matrix
Identity Matrix is also called as Unit Matrix or Elementary Matrix.Identity Matrix is denoted with the letter Inn, where nn represents the order of the matrix.One of the important properties of identity matrix is:AInn = A, where A is any square matrix of order nn.Example of Identity Matrix
I1 = [1], , ,are identity matrices of order 11, 22, 33, nn.
Solved Example on Identity Matrix
If M = , then find MI, where I is an identity matrix.
Choices:
A.
B.
C.
D.
Correct Answer: B
Solution:
Step 1: M = [Given.]
Step 2: As M is square matrix of order 22, the identity matrix I is also of same order 22. [Rule for Matrix Multiplication.]
Step 3: Then MI =
= [Matrix Multiplication.]
Step 4: = [Simplifying.]
Step 5: Hence MI = M =
Related Terms for Identity Matrix
MatrixSquare MatrixOrderMain DiagonalAdditional Links for Identity Matrix
Click here for samples Back to Mathematics DictionaryAbout the Author: Im Shalem, an in-house writer for iCoachMath, the providing of All Free Solved Exampled for Math from K 12. In All USA State Curriculum and also cover all Mathematics Curriculum topics & lessons. I am a regular reader and writer of Education articles.
Related Articles