Linear Algebra By Kunquan Lan -fourth Edition- Pearson 2020 -

$v_2 = A v_1 = \begin{bmatrix} 1/4 \ 1/2 \ 1/4 \end{bmatrix}$

Imagine you're searching for information on the internet, and you want to find the most relevant web pages related to a specific topic. Google's PageRank algorithm uses Linear Algebra to solve this problem. Linear Algebra By Kunquan Lan -fourth Edition- Pearson 2020

Page 1 links to Page 2 and Page 3 Page 2 links to Page 1 and Page 3 Page 3 links to Page 2 $v_2 = A v_1 = \begin{bmatrix} 1/4 \

The PageRank scores indicate that Page 2 is the most important page, followed by Pages 1 and 3. Linear Algebra By Kunquan Lan -fourth Edition- Pearson 2020

$v_k = \begin{bmatrix} 1/4 \ 1/2 \ 1/4 \end{bmatrix}$