Functional analysis | Linear algebra | Numerical linear algebra | Matrices
In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the linear subspace of the domain of the map which is mapped to the zero vector. That is, given a linear map L : V → W between two vector spaces V and W, the kernel of L is the vector space of all elements v of V such that L(v) = 0, where 0 denotes the zero vector in W, or more symbolically: (Wikipedia).
Calculating the kernel of a matrix - An example
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Here I present some short calculation for the kernel of a matrix. I apologise for my pronunciation. The focus is on the mathematics and not my English skills :)
From playlist Linear algebra (English)
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From playlist Kernel and Image of Linear Transformation
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From playlist Abstract algebra
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From playlist Linear algebra: theory and implementation
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German version here: https://youtu.be/lBdwtUa_BGM Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Official supporters in this month: - Petar Djurkovic - Lukas Mührke Here, I explain the typical calculation scheme for getting dimension and basis for the image/ran
From playlist Linear algebra (English)
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We discuss the kernal and range of a linear transformation. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc Submit your questions on Reddit: http://bit.ly/1GwZZrP #Li
From playlist Linear Algebra
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