#matrixrank — Public Fediverse posts
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Alright, future engineers!
**Rank of a Matrix:** Max number of linearly independent columns (or rows).
Ex: `A=[[1,2],[0,1]]` has `rank=2`.
Pro-Tip: If `rank(A)` = num columns, `Ax=0` only has trivial solution! Essential for unique solutions.
#LinearAlgebra #MatrixRank #STEM #StudyNotes -
**Rank of a Matrix:** The max number of linearly independent column (or row) vectors. Ex: For `A=[[1,2],[2,4]]`, rank is 1. Pro-Tip: It reveals the 'dimensionality' of the output space after transformation!