The determinant of an 𝑛×𝑛 matrix is equal to the 𝑝𝑟𝑜𝑑𝑢𝑐𝑡 of its eigenvalues The trace is equal to the 𝑠𝑢𝑚 of its eigenvaluespic.twitter.com/sWdUWUeP0y
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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The determinant of an 𝑛×𝑛 matrix is equal to the 𝑝𝑟𝑜𝑑𝑢𝑐𝑡 of its eigenvalues The trace is equal to the 𝑠𝑢𝑚 of its eigenvaluespic.twitter.com/sWdUWUeP0y
The trace of a matrix is usually defined to be the sum of its diagonal entries.
Right but what does that mean? Like for example the det of a matrix is how much the matrix stretches volume or area
it's just another invariant under a change of basis .. these are the only two invariant tensors for GL(n, R)
You had me the first half, lost me the second. Thanks for the reply!
Do you know about the epsilon tensor and the kronecker delta
No I absoutely don’t
I’m a freshman math major
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