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Proving a linear map to be injective and/or surjective

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#linear-algebra #proof-writing #linear-transformations
256
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complex coordinate to screen coordinate problem

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#complex-numbers #linear-transformations #coordinate-systems #affine-geometry
481
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Image equal to kernel

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#linear-transformations
969
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Why the dimension of the range of linear map is smaller than the dimension of $W$?

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#linear-algebra #linear-transformations
618
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Volume of image of closed rectangle in $\mathbb{R}^n$ under linear transformation

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#calculus #integration #measure-theory #linear-transformations #determinant
33
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Is there any property shared by all possible matrices $M$ such that $A=M\cdot B$, with $M$ being lower triangular and A and B 1 dimension arrays

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#linear-algebra #linear-transformations
49
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What are the eigenspaces and the minimal polynomial of the "transposing about the anti-diagonal" endomorphism?

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#linear-algebra #matrices #eigenvalues-eigenvectors #linear-transformations #transpose
34
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Dimensions of linear transformation in relation to kernel

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#linear-algebra #linear-transformations
19
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Generalisation of the following

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#linear-algebra #linear-transformations
241
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For which values of $x$ the matrix is invertible?

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#linear-algebra #matrices #discrete-mathematics #linear-transformations
29
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Verification: Investigation of a linear map on surjectivity and injectivity

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#linear-algebra #derivatives #proof-verification #linear-transformations
27
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Finding a value of $a$ so that there is at least 1 injective linear function

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#linear-algebra #linear-transformations
864
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complex numbers and rotation matrices

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#linear-algebra #matrices #complex-numbers #linear-transformations #intuition
485
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Finding the eigenvalues of a linear transformation without using the matrix of the linear transformation

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations
571
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Is the formula $A^{-1}=\frac{1}{\det (A) }\text{Adj}(A)$ really true for 2 x 2 matrices?

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#linear-algebra #matrices #linear-transformations #determinant #inverse

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