Category: Uncategorized

Suppose Alice sends a message to Bob that says “pay Chloe $10”. Alice and Bob could be banks communicating, and Chloe is a customer. The message is sent over the Internet. One issue with a message being sent like this is that a transmission error could change the message and there’s no way to detect…

Working with matrices involves finding their inverse, determinant, multiplying them and often exponentiating them. All these operations, particularly exponentiation (raising a matrix to the n’th power), are a lot less computationally expensive to do on a diagonal matrix. Suppose we want to multiply two matrices A and B: $$\definecolor{blue}{RGB}{39,111,191}\definecolor{red}{RGB}{242,54,2}\begin{bmatrix}\color{blue}a_1 & \color{blue}b_1 \\\color{blue}a_2 & \color{blue}b_2 \\\end{bmatrix}…