This is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom.



The equation of motion...

This video goes over how you can learn all the math classes you need and self teach them, right from your computer. There are lots of resources out there when it comes to math help, however it can be disorganized making it hard to know...

This video explains linear regression – a real model.
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This clip is from the chapter "Linear Regression - a Real Model" of the series "Data Science and Machine Learning with R from A-Z Course [Updated for 2021]".This...

Defining vectors as being orthogonal and orthonormal.

An overview of the Gram-Schmidt process.

Reading Comments

Defining linear independence.

How can we invert a matrix? How fast can we do it?<br/>
• Learn why matrix inversio<br/>n is useful
• See how to inver<br/>t a matrix numerically
• Learn <br/>how expensive matrix inversion is

How to perform a change of basis on a system of equations.

Performing diagonalization.

This video explains working with matrices.
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This clip is from the chapter "Data Types and Structures in R" of the series "Data Science and Machine Learning with R from A-Z Course [Updated for 2021]".This video explains data...

The Least Squares method is widely used to fit curves to data. This is called Least Squares regression. This video shows how to solve the ordinary least squares minimization problem for 1 unknown and 2 unknowns. In...

In the previous tutorial we introduced our second quantum problem, that of the quantum barrier potential. Again, this involves a free particle that encounters a barrier of finite potential. We've already solved the Schrödinger equation...

👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...

Introducing the concepts of subspaces and span.

Master Solving one step equations

Master Solving two step equations

Master Solving a multi step equation with the variable on the same side

We are beginning to get a glimpse of quantum mechanical principles from a rigorous, mathematical perspective. Now that we know how to use operators in conjunction with wavefunctions, let's get a better sense of what wavefunctions...

Defining image and kernel.

First video
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f='https://youtu.be/6eLJSzOHdc8' target='_blank' rel='nofollow'>video

Linear least squares is a method commonly used to fit curves to data. The equation used for least squares here is derived...

The Convolution layer (CONV) uses filters that perform convolution operations as it is scanning the input with respect to its dimensions. Its hyperparameters include the filter size and stride. The resulting output is called a feature...

In this video, we will cover Least Squares.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and Projects)...

In this video, we will cover Lagrange Multipliers.
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This clip is from the chapter "Machine Learning: Feature Engineering and Dimensionality Reduction with Python" of the series "Data Science and Machine Learning (Theory and...