Question

Find the area of the parallelograms generated by following vectors in $ R ^ 3 $: $\vec x_1 = (4,5,-6), \vec x_2 = (1,4,1)$.

score 25 · Answer 1 · 2020-06-11 13:43:34

25

Views

Find the area of the parallelograms generated by following vectors in $ R ^ 3 $: $\vec x_1 = (4,5,-6), \vec x_2 = (1,4,1)$.

Published on 11 Jun 2020 - 13:43

score 22 · Answer 2 · 2020-06-11 14:53:54

22

Views

Calculate the orthogonal projection ande the area: V=$ R^3 $, S'=$\{\vec f_1 =(1,0,1),\vec f_2 = (1,-1,0)\},\vec x_1 =(1,1,1),\vec x_2= (1,0,0)$....

Published on 11 Jun 2020 - 14:53

score 134 · Answer 3 · 2020-06-11 20:21:54

134

Views

Does the polynomial $r^3+s^3+t^3-3rst-1$ have rational roots?

Published on 11 Jun 2020 - 20:21

score 175 · Answer 4 · 2020-06-12 06:57:47

175

Views

Matrices of non trivial solution

Published on 12 Jun 2020 - 6:57

score 63 · Answer 5 · 2020-06-12 16:15:24

63

Views

Inequalities on determinants of rational matrices.

Published on 12 Jun 2020 - 16:15

score 158 · Answer 6 · 2020-06-13 08:05:08

158

Views

Find $\det B(\det A-\det B)$.

Published on 13 Jun 2020 - 8:05

score 524 · Answer 7 · 2026-03-27 15:18:57

524

Views

What is $\frac{\det(\hat{\Sigma}_0)}{\det(\hat{\Sigma})}$ in terms of $\hat{\mu}_1$, $\hat{\mu}_2$ and $\hat{\Sigma}$

Published on 27 Mar 2026 - 15:18

score 58 · Answer 8 · 2020-06-14 06:49:41

58

Views

If a non-zero vector $\mathbf{x}$ satisfies $A\mathbf{x}=\mathbf{0}$ and $B\mathbf{x}=\mathbf{0}$ does it imply that $A-B$ is non-invertible

Published on 14 Jun 2020 - 6:49

score 57 · Answer 9 · 2020-06-14 15:30:37

57

Views

Using determinant to calculate surface of a triangle

Published on 14 Jun 2020 - 15:30

score 46 · Answer 10 · 2026-04-04 03:48:14

46

Views

Determinant division by arithmetic formula

Published on 04 Apr 2026 - 3:48

score 19 · Answer 11 · 2026-03-29 21:25:43

19

Views

Cofactor expansion does not apply to quaternion matrices?

Published on 29 Mar 2026 - 21:25

score 76 · Answer 12 · 2020-06-16 14:00:17

76

Views

Elementary operation on determinant, but actually basic algebra

Published on 16 Jun 2020 - 14:00

score 47 · Answer 13 · 2026-04-05 23:20:26

47

Views

Is it possible to find a $2 × 2$ matrix $M$ for which the equation $M\vec{x} = \vec{p}$ has the following properties?

Published on 05 Apr 2026 - 23:20

score 1.8k · Answer 14 · 2026-03-29 03:37:01

1.8k

Views

Easier way to show different forms of Jacobi's formula for the derivative of the determinant

Published on 29 Mar 2026 - 3:37

score 161 · Answer 15 · 2020-06-19 05:40:00

161

Views

Why does when three planes intersect in a line, $\Delta_x=\Delta_y=\Delta_z=0$?

Published on 19 Jun 2020 - 5:40

List Question

Find the area of the parallelograms generated by following vectors in $ R ^ 3 $: $\vec x_1 = (4,5,-6), \vec x_2 = (1,4,1)$.

Calculate the orthogonal projection ande the area: V=$ R^3 $, S'=$\{\vec f_1 =(1,0,1),\vec f_2 = (1,-1,0)\},\vec x_1 =(1,1,1),\vec x_2= (1,0,0)$....

Does the polynomial $r^3+s^3+t^3-3rst-1$ have rational roots?

Matrices of non trivial solution

Inequalities on determinants of rational matrices.

Find $\det B(\det A-\det B)$.

What is $\frac{\det(\hat{\Sigma}_0)}{\det(\hat{\Sigma})}$ in terms of $\hat{\mu}_1$, $\hat{\mu}_2$ and $\hat{\Sigma}$

If a non-zero vector $\mathbf{x}$ satisfies $A\mathbf{x}=\mathbf{0}$ and $B\mathbf{x}=\mathbf{0}$ does it imply that $A-B$ is non-invertible

Using determinant to calculate surface of a triangle

Determinant division by arithmetic formula

Cofactor expansion does not apply to quaternion matrices?

Elementary operation on determinant, but actually basic algebra

Is it possible to find a $2 × 2$ matrix $M$ for which the equation $M\vec{x} = \vec{p}$ has the following properties?

Easier way to show different forms of Jacobi's formula for the derivative of the determinant

Why does when three planes intersect in a line, $\Delta_x=\Delta_y=\Delta_z=0$?

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