NÚCLEO DE UMA TRANSFORMAÇÃO LINEAR: Definição e Exercícios Resolvidos | Álgebra Linear

How to find the kernel of a linear transformation? Join the Matemateca Academy: http://matemateca.com What are Linear Transformations? -    • COMO PROVAR QUE É TRANSFORMAÇÃO LINEAR?: D...   Image of a Linear Transformation -    • COMO DETERMINAR A IMAGEM DE UMA TRANSFORMA...   BOOKS THAT WILL HELP YOU: Calculus 1 - James Stewart: https://amzn.to/3hRJy4C Calculus 2 - James Stewart: https://amzn.to/3vecrM2 Signals and Systems - Oppenheim: https://amzn.to/3hQ1yML Analytic Geometry - Boulos: https://amzn.to/3fDa0vY Linear Algebra - Steinbruch: https://amzn.to/3yEDAdo Linear Algebra - Anton: https://amzn.to/3vkWWC1 MY EQUIPMENT: Digital Tablet: https://amzn.to/3wwDgLS Microphone: https://amzn.to/3yCjX5l Tripod: https://amzn.to/3fgiOcc Webcam: https://amzn.to/3vv3zla Camera: https://amzn.to/3wwDPW0 A Linear Transformation is a type of function that has as its domain and co-domain elements of vector spaces. So we can take an element of R2 and take it to R3, or take a matrix and transform it into a polynomial of P2 and so on. Now that we know what the image of a Linear Transformation is, let's understand what its Core is, also known as Kernel (in English). The core of a Linear Transformation will be a vector subspace of the domain containing the vectors that, when transformed, result in the null vector of the co-domain. In this video, we will see didactic examples about what the nucleus is and solve exercises to understand how we can determine the generating set of the nucleus of a TL. Let's go! ⭐ Subscribe to the Matemateca Channel for more Linear Algebra videos Instagram:   / canalmatemateca​