The Column Space of A Contains All Vectors Ax

Matrix Methods in Data Analysis, Signal Processing, and Machine Learning

Lecture 1: The Column Space of A Contains All Vectors Ax

In this first lecture, Professor Strang introduces the linear algebra principles critical for understanding the content of the course. In particular, matrix-vector multiplication Ax and the column space of a matrix and the rank.

#matrix #dataanalysis #machinelearning

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50+ Useful Kubernetes Tools for 2020 - Part 2

Introduction

Last year, we provided a list of Kubernetes tools that proved so popular we have decided to curate another list of some useful additions for working with the platform—among which are many tools that we personally use here at Caylent. Check out the original tools list here in case you missed it.

According to a recent survey done by Stackrox, the dominance Kubernetes enjoys in the market continues to be reinforced, with 86% of respondents using it for container orchestration.

(State of Kubernetes and Container Security, 2020)

And as you can see below, more and more companies are jumping into containerization for their apps. If you’re among them, here are some tools to aid you going forward as Kubernetes continues its rapid growth.

(State of Kubernetes and Container Security, 2020)

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AWS Bottlerocket vs. Google Container-Optimized OS: Which Should You Use and When

What’s the difference between popular Container-Centric OS choices, Google’s Container-Optimized OS, and AWS’s Bottlerocket? The concepts underlying containers have been around for many years. Container technologies like Docker, Kubernetes, and an entire ecosystem of products, as well as best practices, have emerged in the last few years. This has enabled different kinds of applications to be containerized.

Web service providers like Amazon AWS and Google are giving a further boost to container innovation, for enterprises to adopt and use containers at scale. This will help them to reap the benefits containers bring, including increased portability and greater efficiency.

Linux-based OS, AWS Bottlerocket is a new option, designed for running containers on virtual machines (VMs) or bare-metal hosts. In this article, you will learn the core uses and differences between the two open-source OS.

**AWS Bottlerocket **

It is an open-source, stripped-down Linux distribution that’s similar to projects like Google’s Container-Optimized OS. This single-step update process helps reduce management overhead.

_It makes OS updates easy to automate using container orchestration services such as Amazon Elastic Container Service (ECS) and Amazon Elastic Kubernetes Service (EKS). _

**Google Container-Optimized OS **

It’s an OS image for Google Compute Engine VMs that’s optimized for running Docker containers. It allows you to bring up your Docker containers on Google Cloud Platform securely, and quickly. It is based on the open-source Chromium OS project and is maintained by Google.

But before diving into the core differences, let us give you a basic overview of containers, VMs, and container-optimized OS, and its underlying challenges to better understand the differences.

If you are already aware of all the underlying processes of containers, then you can skip to the main differences for AWS Bottlerocket vs Google Container-Optimized OS.

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Ever Wondered Why We Use Containers In DevOps?

At some point we’ve all said the words, “But it works on my machine.” It usually happens during testing or when you’re trying to get a new project set up. Sometimes it happens when you pull down changes from an updated branch.

Every machine has different underlying states depending on the operating system, other installed programs, and permissions. Getting a project to run locally could take hours or even days because of weird system issues.

The worst part is that this can also happen in production. If the server is configured differently than what you’re running locally, your changes might not work as you expect and cause problems for users. There’s a way around all of these common issues using containers.

What is a container

A container is a piece of software that packages code and its dependencies so that the application can run in any computing environment. They basically create a little unit that you can put on any operating system and reliably and consistently run the application. You don’t have to worry about any of those underlying system issues creeping in later.

Although containers were already used in Linux for years, they became more popular in recent years. Most of the time when people are talking about containers, they’re referring to Docker containers. These containers are built from images that include all of the dependencies needed to run an application.

When you think of containers, virtual machines might also come to mind. They are very similar, but the big difference is that containers virtualize the operating system instead of the hardware. That’s what makes them so easy to run on all of the operating systems consistently.

What containers have to do with DevOps

Since we know how odd happenings occur when you move code from one computing environment to another, this is also a common issue with moving code to the different environments in our DevOps process. You don’t want to have to deal with system differences between staging and production. That would require more work than it should.

Once you have an artifact built, you should be able to use it in any environment from local to production. That’s the reason we use containers in DevOps. It’s also invaluable when you’re working with microservices. Docker containers used with something like Kubernetes will make it easier for you to handle larger systems with more moving pieces.

#devops #containers #containers-devops #devops-containers #devops-tools #devops-docker #docker #docker-image

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At Worknomic coworking space, we provide the basic amenities like high-speed internet, a cafeteria, opera-terrace gym, meeting rooms, seminar and event rooms, storage space, thinking pods, and many more. We provide access to coworkers so they can customize their spacer as per their choice and requirements.

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The Column Space of A Contains All Vectors Ax

Matrix Methods in Data Analysis, Signal Processing, and Machine Learning

Lecture 1: The Column Space of A Contains All Vectors Ax

In this first lecture, Professor Strang introduces the linear algebra principles critical for understanding the content of the course. In particular, matrix-vector multiplication Ax and the column space of a matrix and the rank.

#matrix #dataanalysis #machinelearning