Diagonal Traversal: Exploring the Slants of a Matrix. Diagonal traversal involves visiting elements along the diagonals of a matrix instead of rows or columns. Think of it like sliding down slopes on a grid: •

What is a Diagonal Matrix? A square matrix in which all non-diagonal elements are zero is called a Diagonal Matrix. What is transpose of a matrix? The transpose of a matrix is a new matrix formed by swapping its rows and columns. In other words, the element at the position (row, column) in the original matrix moves to the position (column, row ...

接下来，我们介绍三对角矩阵算法（Tri-Diagonal Matrix Algorithm, TDMA） ，这是一种针对一维情况的直接方法，通过逐行迭代的应用于多维问题的求解，计算成本低且所需存储空间最少。

Zigzag traversal, also known as diagonal traversal, is a method of traversing a matrix in a zigzag pattern. Imagine you’re a snake slithering through a garden of numbers, weaving left and right as you go.

Topics will include a rigorous treatment of vector spaces (linear independence, basis, dimension, and linear transformations), orthogonality (inner products, projections, and Gram-Schmidt process), determinants, eigenvalues and eigenvectors (diagonal form of a matrix, similarity transformations, and matrix exponential), singular value ...