Alright, future engineers!

The **Identity Matrix (I)** is a square matrix with 1s on the main diagonal & 0s elsewhere.
Ex: For 2x2, `I = [[1,0],[0,1]]`.
Pro-Tip: It's the 1 of matrix multiplication – `AI = IA = A`. Essential for inverses!
#LinearAlgebra #MatrixMath #STEM #StudyNotes

Alright, future engineers!
A **Determinant** is a scalar value that provides properties of a square matrix (e.g., if it's invertible).
Ex: For `A = [[a,b],[c,d]]`, `det(A) = ad - bc`.
Pro-Tip: If `det(A) = 0`, the matrix is singular (no inverse)!

#LinearAlgebra #MatrixMath #STEM #StudyNotes

Alright, future engineers!
The **Determinant** of a square matrix reveals its scaling factor under transformation. Ex: For `[[a,b],[c,d]]`, det = `ad - bc`. Pro-Tip: If det != 0, the matrix is invertible & its columns are linearly independent!
#LinearAlgebra #MatrixMath #STEM #StudyNotes

Alright, future engineers!

**Matrix Multiplication:** Combines two matrices, like applying transformations in sequence. Ex: For C=AB, C_ij = sum(A_ik * B_kj). Pro-Tip: Order matters! AB != BA (usually).

#MatrixMath #LinearTransform #STEM #StudyNotes

Alright, future engineers!
A **Determinant** is a scalar value from a square matrix, indicating if it's invertible. Ex: For A=[[a,b],[c,d]], det(A)=ad-bc. Pro-Tip: If det(A)=0, the matrix is singular – it has no inverse!

#LinearAlgebra #MatrixMath #STEM #StudyNotes

Alright, future engineers!

The determinant (det(A)) of a square matrix is a scalar value that tells us about its invertibility & volume scaling. Ex: For A=[a,b;c,d], det(A)=ad-bc. Pro-Tip: If det(A)=0, A is singular (non-invertible)! Crucial info.

#LinearAlgebra #MatrixMath #STEM #StudyNotes

Alright, let's nail this Linear Algebra concept!

Matrix multiplication combines rows of the first matrix (A) with columns of the second (B). Ex: For A (m x n) & B (n x p), A*B results in an (m x p) matrix. Pro-Tip: #cols in A MUST match #rows in B for A*B to be possible! Order matters.

#LinearAlgebra #MatrixMath #STEM #StudyNotes

I don't know enough about Deepseek and OpenAI to be certain of anything.

I do know that co-processor chips for #MatrixMath, cheap and low-power, are coming from China, sold for the #RaspberryPi as AI hardware.

Nobody is saying whether it matters for this GenAI fuss, but China are talking about this tech. Why this sort of Math?

Keep an eye on the #magpi

https://magpi.raspberrypi.com/

The MagPi magazine

The official Raspberry Pi magazine

The MagPi magazine

Ummm...this is totally gonna fuck #NVidia's share value! 😂😂😂

That's what they get when they rely on throwing hardware at an issue when you could've fixed the software algorithms! #AI #MatMul #MatrixMath

https://arstechnica.com/information-technology/2024/06/researchers-upend-ai-status-quo-by-eliminating-matrix-multiplication-in-llms/?utm_brand=arstechnica&utm_social-type=owned&utm_source=mastodon&utm_medium=social

Researchers upend AI status quo by eliminating matrix multiplication in LLMs

Running AI models without floating point matrix math could mean far less power consumption.

Ars Technica
I heard you can test out of intro linear algebra if you have at least 1 year experience playing D&D 3.5e. BIG if true #dnd #matrixmath