Upper Triangular Matrix
From the book
Chapter 5: Square Matrix and LU Decomposition. In the chapter mind map this icon labels Solving Linear Systems via Forward/Backward Substitution. The discussion below is excerpted and lightly edited from § Solving Linear Systems in Mathematics for AI and Machine Learning.
For the matrix $A$ in above example, solve $Ax = b$ for arbitrary $b$.
What this drawing shows
What you see. Matrix with nonzero entries on and above the main diagonal, used in back substitution and QR factors.
In the mind map. Chapter 5 — Solving Linear Systems via Forward/Backward Substitution. See From the book above for definitions, figures, and worked examples.
Where to read next
Read the full definitions, figures, and worked examples in Chapter 5: Square Matrix and LU Decomposition — see the mind-map node Solving Linear Systems via Forward/Backward Substitution.
