# Tagged Questions

Linear algebra is concerned with vector spaces of all dimensions and linear transformations between them, including systems of linear equations, bases, dimensions, subspaces, matrices, determinants, traces, eigenvalues and eigenvectors, diagonalization, Jordan forms, etc. For questions specifically ...

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### Projection from high dimension to lower, for visualization

I want to project high dimensional data points onto 2D screen coordinates, for visualization purposes. I want to be able to control the angles of projection manually (eg, with the mouse). I have ...
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### Is a diagonalization of a matrix unique?

I was solving problems of diagonalization of matrices and I wanted to know if a diagonalization of a matrix is always unique? but there's nothing about it in the books nor the net. I was trying to ...
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### Dual Norm proof

Let $\|.\|$ denote any norm on $C^m$. The corresponding dual norm $\|.\|'$ is defined by the formula $\|x\|' = sup_{\|y\|=1}|y^*x|$. (a)Prove that $\|.\|'$ is a norm? (b) Let $x, y \in C^m$ with ...
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### MIT ocw math/computer science courses for a grade 11 student? [closed]

I am 16 years old and I have decided to take the MIT math and maybe computer science courses online. I love math and computer science and I want to finish the learn the undergraduate courses as soon ...
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### isolating x with two variables and negative exponents

I have: $$4^y = x^{-2}$$ Can someone hint to me what I need to do to isolate $x$? I'm not sure what to do.