# Category:Matrix Algebra

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This category contains results about **Matrix Algebra**.

Definitions specific to this category can be found in Definitions/Matrix Algebra.

**Matrix algebra** is the subfield of algebra whose subjects of manipulation are matrices.

## Subcategories

This category has the following 39 subcategories, out of 39 total.

### A

### C

- Characteristic Equations (empty)
- Congruence Transformations (empty)

### D

### E

### F

### G

### H

- Hermitian Conjugates (empty)

### M

- Matrix Equivalence (3 P)
- Matrix Exponential (10 P)
- Matrix Logarithms (1 P)
- Matrix Similarity (1 P)
- Matrix Spaces (1 P)

### N

- Negative Matrices (4 P)

### O

### P

- Pairwise Orthogonality (empty)

### R

### S

- Special Linear Group (6 P)

## Pages in category "Matrix Algebra"

The following 32 pages are in this category, out of 32 total.

### C

### E

### I

### M

### S

- Set of Linear Transformations is Isomorphic to Matrix Space
- Similar Matrices are Equivalent
- Special Linear Group is Subgroup of General Linear Group
- Square Matrices over Real Numbers under Multiplication form Monoid
- Square Matrix with Duplicate Columns has Zero Determinant
- Square Matrix with Duplicate Rows has Zero Determinant
- Square of Ones Matrix
- Substitution Rule for Matrices
- Substitution Rule for Matrices/Einstein Summation Convention