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Computing the change of the length of this vector

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#linear-algebra #vectors #determinant
120
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Calculation of a Jacobian determinant

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#real-analysis #analysis #multivariable-calculus #determinant #jacobian
1.3k
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Does $\det(I+A) = 1 + \mbox{tr}(A)$ hold if $A$ is a rank-$1$ complex matrix?

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#linear-algebra #matrices #determinant #trace #rank-1-matrices
45
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Proof for determinants

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#linear-algebra #proof-verification #determinant
1.2k
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Does $\det(A^2) = \det(A)*\det(A)$?

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#linear-algebra #determinant
95
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Determinant of $I + LL^T$

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#linear-algebra #eigenvalues-eigenvectors #determinant #numerical-linear-algebra #matrix-decomposition
2.2k
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Inequality of determinant and product of diagonal elements of a matrix

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#linear-algebra #determinant #positive-definite
172
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The polarization of the determinant is invariant?

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#matrices #determinant #invariant-theory
921
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Prove that the determinant of a swap matrix is $-1$

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#linear-algebra #matrices #determinant #permutation-matrices
288
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Surjective map from $\mathrm{SL}(2, \mathbb{Z})$ to $\mathrm{SL}(2,\mathbb{Z}/n\mathbb{Z})$

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#matrices #elementary-number-theory #determinant #gcd-and-lcm #smith-normal-form
658
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How to show the determinant of a matrix is zero for which the column elements sum to zero

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#matrices #determinant
68
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Solve the following nxn determinant by reducing it to a upper/lower triangular determinant

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#linear-algebra #determinant
85
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Show that $\det(A) = 0$

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#linear-algebra #matrices #determinant
127
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Absolute Determinant: Geometric Argument

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#linear-algebra #matrices #determinant
36
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Invertibility of $M_{m+1\times m+1}[i,j]=\frac{1}{2m+3-i-j}$

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#matrices #determinant #inverse

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