Pedro Arantes
ArticlesContactNow

# Matrix Determinant

It's a scalar value that is a function of the entries of a square matrix.
#linear-algebra
Zettelkasten, July 01, 2021 (changes)

• It's a scalar value that is a function of the entries of a square matrix.

• It represents the area of the parallelogram defined by the vector columns of the matrix.

• If the value is $0$, then:

• the column vectors are linearly dependent.
• If the value is not $0$, then:

• the column vectors are linearly independent;
• the matrix is invertible.

## Questions

• In one sentence, shows that $\det(M_1M_2) = \det(M_1)\det(M_2)$.

## References

RecommendationsDo you want to see all posts instead?
Vector Space
A vector space, or linear space, is a set of objects called vectors. It's possible scale by numbers, called scalars, and add these vectors together.
Zettelkasten, June 27, 2021
Accountability Psychological Trigger
You need accountability to build up credibility. So you have to do things under your name as much as possible, with risky.
Zettelkasten, August 18, 2021
Mental Models
Mental models are frameworks, worldviews, representations, or explanations of how something works. They're how we understand the world.
Zettelkasten, April 06, 2021
Purposeful Stupidity
"Citizen-saboteurs" learned those instructions to sabotage organizations or governments institutions.
Zettelkasten, September 19, 2021
Asymmetric Opportunity
An asymmetric opportunity is one in which the upside is much more significant than the downside.
Zettelkasten, July 22, 2021
Authority Psychological Trigger
People consider most the opinion of ones they believe to be better at something, whether because of hierarchy or because the person truly knows about the subject, as a doctor.
Zettelkasten, August 18, 2021