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Zero, Identity and Inverse Matrices

Related Topics:
Common Core (Vector and Matrix Quantities)
Common Core for Mathematics

Common Core: HSN-VM.C.10

Videos, solutions, examples, 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.

The following diagrams show Zero Matrices, Identity Matrices and Inverse Matrices. Scroll down the page for more examples and solutions.

Zero Matrices
Identity Matrices
Inverse Matrices

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.
A zero matrix is a matrix where all elements are 0.

Matrices - zero & identity.
Definition, notation and significance. 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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