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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.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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