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Does $\det(A-BC) = \det (A)$?

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#linear-algebra #matrices #determinant
64
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If $M=\left(\begin{smallmatrix} 0 & 1 & -1 \\ -1 & 0 & \alpha \\ 2 & -\alpha & 0 \end{smallmatrix}\right)$ and $Mx=b$, for some $x$,then find $x^TMx$

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#linear-algebra #matrices #quadratic-forms
140
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Diagonal matrix property proof

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#linear-algebra #matrices #diagonalization
20
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Quality of two norm solution in basis pursuit

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#matrices #optimization
812
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Characteristic roots of symmetric matrices

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#matrices #eigenvalues-eigenvectors #symmetric-matrices
2.3k
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Matrix Transpose 1x2

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#matrices
17.5k
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How to find the key matrix of a 2x2 Hill Cipher?

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#matrices #number-theory #elementary-number-theory #cryptography
75
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If $A$ is $k\times l$ and $B$ is $l\times k$, $l\geq k$ and full-rank, must $AB$ have full-rank?

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#linear-algebra #matrices #matrix-rank
111
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Formal way of writing an isomorphism between unitriangular matrix groups

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#matrices #group-theory #group-isomorphism
343
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Rank and Trace of a Matrix

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#matrices #trace
316
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Why doesn't the least squares equation simplify?

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#matrices #inverse #least-squares #transpose
205
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How to compute matrices to high powers?

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#linear-algebra #matrices
916
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Show that the matrix with a's on the diagonal and b's off the diagonal has got an inverse with the same structure

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#linear-algebra #matrices #matrix-equations
2k
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How to generate orthogonal matrices?

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#linear-algebra #matrices #orthogonal-matrices
146
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The meaning of notation $[A : B]$ when $A$ and $B$ are matrices

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#linear-algebra #matrices #notation

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