Vectors and matrices

Determinant

A scalar associated with a square matrix that describes signed scale change and indicates invertibility when non-zero.

Common notationdet(A) or |A|

In one sentence

What does Determinant mean?

A scalar associated with a square matrix that describes signed scale change and indicates invertibility when non-zero.

How it is written

det(A) or |A|

A compact example

For [[a,b],[c,d]], det(A)=ad−bc.

Where this fits

When should you learn Determinant?

The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.

  1. 1Pre-high schoolPrepare foundations
  2. 2High schoolUsually introduced
  3. 3CollegeGreater depth
  4. 4AdvancedGreater depth
Typical subjects
  • Vectors
  • Linear algebra
Know first
  • Algebra
  • Coordinates
  • Functions
What it unlocks
  • Transformations
  • Eigenvalues
  • State spaces

Clear answers

Questions about Determinant

What does Determinant mean in mathematics?

A scalar associated with a square matrix that describes signed scale change and indicates invertibility when non-zero.

How is Determinant written?

A common notation is det(A) or |A|.

What is an example of Determinant?

For [[a,b],[c,d]], det(A)=ad−bc.

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