# Zero, Identity and Inverse Matrices

Videos and lessons to help High School students understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

Common Core: HSN-VM.C.10

Related Topics:
Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

## Zero and Identity Matrices

Zero and Identity Matrices N.VM.10A
Review of the Zero and Identity properties and their application to Matrices. An information derivation/explanation of the Identity Matrix is presented, beginning with refuting the intuitive idea that the identity matrix is filled with 1s, then replacing it with the correct identity matrix.

Matrices - zero & identity.

The Identity Matrix
This video introduces the identity matrix and illustrates the properties of the identity matrix.

## Inverse Matrices and Determinants

Inverse Matrix
Identity Matrix, Taking the inverse of a 2×2 matrix

Singular Matrices
When and why you can't invert a matrix.
A singular matrix has a determinant of 0 and does not have an inverse.

Inverse of a Matrix and Determinants.

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