Question

Show that if $p(X) = X^2 - (a+d)X + (ad-bc)$ and $A $ is a $2 \times 2$ matrix, then $p(A) = 0$

score 1.4k · Answer 1 · 2016-08-30 18:13:46

1.4k

Views

Show that if $p(X) = X^2 - (a+d)X + (ad-bc)$ and $A $ is a $2 \times 2$ matrix, then $p(A) = 0$

Published on 30 Aug 2016 - 18:13

score 152 · Answer 2 · 2016-08-30 19:06:02

152

Views

Generalization of Cayley-Hamilton for non-diagonal coefficients related to other properties than eigenvalues?

Published on 30 Aug 2016 - 19:06

score 728 · Answer 3 · 2016-08-31 10:50:16

728

Views

Solution set of a second order matrix equation

Published on 31 Aug 2016 - 10:50

score 608 · Answer 4 · 2016-08-31 18:35:39

608

Views

representation of vectors by a row or column

Published on 31 Aug 2016 - 18:35

score 62 · Answer 5 · 2026-03-29 10:48:54

62

Views

Let $Z$ and $A$ symmetric matrices of $m\times m$ such that $Z\succeq 0$. Shows a characterization of $\mbox{Tr}(ZA)$.

Published on 29 Mar 2026 - 10:48

score 41 · Answer 6 · 2016-09-01 04:32:48

41

Views

Can this maximization problem be uniquely solved?

Published on 01 Sep 2016 - 4:32

score 1.1k · Answer 7 · 2026-04-03 14:25:33

1.1k

Views

Solving matrix equation $AB = C$ with $B (n\times 1)$ and $C (n\times 1)$

Published on 03 Apr 2026 - 14:25

score 48 · Answer 8 · 2016-09-02 12:30:27

48

Views

Lowest number of Matrix multiplication

Published on 02 Sep 2016 - 12:30

score 169 · Answer 9 · 2026-04-03 14:27:12

169

Views

Determine the values(s) of h and/or k such that the matrix is the augmented matrix of a consistent system.

Published on 03 Apr 2026 - 14:27

score 101 · Answer 10 · 2016-09-09 14:51:03

101

Views

Writing $\displaystyle\sum_{i,j=1}^n \sigma_i\sigma_j^T$ as matrix multiplication

Published on 09 Sep 2016 - 14:51

score 268 · Answer 11 · 2026-03-26 21:27:44

268

Views

proof that an isometric orthogonal mirroring on R2 has a determinant of -1

Published on 26 Mar 2026 - 21:27

score 32 · Answer 12 · 2016-09-12 05:58:10

32

Views

Deriving $\mathbf{\left ( I - G_{0} \right )^{-1} A^{p}}$

Published on 12 Sep 2016 - 5:58

score 81 · Answer 13 · 2026-04-05 06:38:02

81

Views

When does this "primes" matrix have full row and column rank?

Published on 05 Apr 2026 - 6:38

score 1.2k · Answer 14 · 2016-09-14 16:42:43

1.2k

Views

Matrix equation for two perpendicular lines intersecting at an end point

Published on 14 Sep 2016 - 16:42

score 2k · Answer 15 · 2016-09-16 08:56:54

2k

Views

Extracting vector containing the elements of the main diagonal of a matrix

Published on 16 Sep 2016 - 8:56

List Question

Show that if $p(X) = X^2 - (a+d)X + (ad-bc)$ and $A $ is a $2 \times 2$ matrix, then $p(A) = 0$

Generalization of Cayley-Hamilton for non-diagonal coefficients related to other properties than eigenvalues?

Solution set of a second order matrix equation

representation of vectors by a row or column

Let $Z$ and $A$ symmetric matrices of $m\times m$ such that $Z\succeq 0$. Shows a characterization of $\mbox{Tr}(ZA)$.

Can this maximization problem be uniquely solved?

Solving matrix equation $AB = C$ with $B (n\times 1)$ and $C (n\times 1)$

Lowest number of Matrix multiplication

Determine the values(s) of h and/or k such that the matrix is the augmented matrix of a consistent system.

Writing $\displaystyle\sum_{i,j=1}^n \sigma_i\sigma_j^T$ as matrix multiplication

proof that an isometric orthogonal mirroring on R2 has a determinant of -1

Deriving $\mathbf{\left ( I - G_{0} \right )^{-1} A^{p}}$

When does this "primes" matrix have full row and column rank?

Matrix equation for two perpendicular lines intersecting at an end point

Extracting vector containing the elements of the main diagonal of a matrix

Trending Questions

Popular # Hahtags

Popular Questions