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Matrix Multiplication

"When working with matrices, we can perform a number of matrix operations including matrix multiplication. When multiplying matrices, we first need to ensure that the matrices have the same dimension ...

Mathematical Induction

"An important and fundamental tool used when doing proofs is mathematical induction. We can use mathematical induction to prove properties in math, or formulas. For example, we can prove that a formul ...

Antidifferentiation

"Finding the antiderivatives of a function require a little backwards thinking. Since the derivative of the wanted antiderivative is the given function, checking for correctness is easy. You just take ...

Logarithmic Functions

"In order to solve equations that contain exponentials, we need logarithmic functions. Logarithmic functions are the inverses of exponential functions. The properties of logarithms are used frequently ...

Analyzing Data

"There are different methods we use for analyzing data. Some of the most common ways that we analyze data is to identify the mean, median and mode of a set of numbers. When analyzing data we are somet ...

Limits of Rational Functions

"There are certain behaviors of rational functions that give us clues about their limits. For the limits of rational functions, we look at the degrees of their quotient functions, whether the degree o ...

Adding Vectors

"The first operation we learn with vectors is addition. Adding vectors can be done two ways with the geometric representation. Both of these methods help us understand what it means to add two vectors ...

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