logarithm of a matrix. I calculate ln of a matrix by finding the eigenvalues and eigenvectors of that matrix and by using diagonalization. It's a very powerful tool that allows us to find exponentials, sin, cos, and powers of a matrix and relates to Fibonacci numbers as well. This is a mus
From playlist Eigenvalues
Finding Eigenvalues and Eigenvectors
In studying linear algebra, we will inevitably stumble upon the concept of eigenvalues and eigenvectors. These sound very exotic, but they are very important not just in math, but also physics. Let's learn what they are, and how to find them! Script by Howard Whittle Watch the whole Math
From playlist Mathematics (All Of It)
Use of the Word Buono in Italian
Mmmm, molto buono! You will probably hear this phrase a lot if you go to restaurants in Italy. Buono means good, and most Italian food is exactly that! But let's go over some grammar associated with using this word to make sure that we always use it correctly. Script by Patrizia Farina, P
From playlist Italian
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
Divisibility, Prime Numbers, and Prime Factorization
Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one! Watch th
From playlist Mathematics (All Of It)
From playlist Trigonometry TikToks
Subjunctive vs. Infinitive in Italian: Congiuntivo o Infinito?
So we know a bit about the subjunctive mood now, but sometimes we will be faced with having to choose between using the subjunctive or an infinitive. What are the rules for this? Let's take a look! Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and
From playlist Italian
Italian Culture: The History of Tiramisù
The most beloved Italian dessert, at least in the opinion of Americans, is tiramisù. People just love this stuff! So when was it created, in Ancient Roman times? During the Renaissance? Nope! In the 1970s it turns out. Let's learn about Roberto Linguanotto and the invention of tiramisù now
From playlist Italian
Using the inverse of an exponential equation to find the logarithm
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how to convert between the different forms will help us i
From playlist Logarithmic and Exponential Form | Learn About