Vectors and matrices
Inverse matrix
A matrix that reverses an invertible square matrix under multiplication.
Common notationAA⁻¹=I
In one sentence
What does Inverse matrix mean?
A matrix that reverses an invertible square matrix under multiplication.
How it is written
AA⁻¹=I
A compact example
A 2×2 matrix is invertible exactly when its determinant is non-zero.
Other names and search terms
matrix inverse.
Where this fits
When should you learn Inverse matrix?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolUsually introduced
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Vectors
- Linear algebra
- Algebra
- Coordinates
- Functions
- Transformations
- Eigenvalues
- State spaces
States and operators are represented using vectors, matrices and linear transformations.
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Questions about Inverse matrix
What does Inverse matrix mean in mathematics?
A matrix that reverses an invertible square matrix under multiplication.
How is Inverse matrix written?
A common notation is AA⁻¹=I.
What is an example of Inverse matrix?
A 2×2 matrix is invertible exactly when its determinant is non-zero.