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Proving the determinant for an $n\times n$ matrix equals some value

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171
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existence of linear transformation doesn't hold

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698
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Show that the the linear map $I-L$ is invertible where $L:V \rightarrow V$ and $L^3 = 0$. Find the invertible matrix in terms of a polynomial.

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87
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How does invertibility of matrix B affect the answer?

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#linear-algebra #matrices #linear-transformations
316
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Find the eigenvalue of the non-diagonalizable matrix

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95
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Matrix representation of a linear transformation under change of basis.

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308
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Is $0$ the only vector in the kernel of every bounded linear functional?

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#linear-algebra #functional-analysis #operator-theory #linear-transformations #normed-spaces
30
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G(n) is the number of n x n matrices J with real entries that satisfy J^2 + In = 0. Show that G(n)=0 iff n is odd.

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4.5k
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System of inequalities with 3 variables

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294
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Find Matrix A from Linear Transformation T

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#linear-algebra #linear-transformations
386
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Given a projection, determine if it is linear.

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#linear-algebra #linear-transformations
292
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Linear Transformation - One-One and Onto Property

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#linear-algebra #linear-transformations
2.1k
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QR decomposition using Householder reflections: how to calculate Q?

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#linear-algebra #numerical-methods #linear-transformations
40
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Is it the right way to determine the coefficients?

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#linear-transformations
116
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Counter examples for Linear transformation from $:V\to V$

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#linear-algebra #linear-transformations

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