These lessons, with videos, examples and step-by-step solutions help Algebra students learn about the identity matrix.
The following diagrams show examples of Identity Matrices and their properties. Scroll down the page for more examples and solutions of Identity Matrices.
The Identity Matrix
When dealing with matrix computation, it is important to understand the identity matrix. We can think of the identity matrix as the multiplicative identity of square matrices, or the one of square matrices. Any square matrix multiplied by the identity matrix of equal dimensions on the left or the right doesn’t change. The identity matrix is used often in proofs, and when computing the inverse of a matrix.
This video introduces the identity matrix and illustrates the properties of the identity matrix.
Learn what is an Identity Matrix
2×2 Identity Matrix
The Identity Matrix is a square matrix with zeros everywhere except on the main diagonal, which has all elements equal to one. It is the product of a matrix and its inverse.
Learn about the identity matrix
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