Matrix Solver Step by Step
ASO Keyword Dashboard
Tracking 72 keywords for Matrix Solver Step by Step in Apple App Store
Matrix Solver Step by Step tracks 72 keywords (1 keyword ranks; 71 need traction). Key metrics: 0% top-10 coverage, opportunity 69.5, difficulty 38.3, best rank 199.
Tracked keywords
72
1 ranked • 71 not ranking yet
Top 10 coverage
0%
Best rank 199 • Latest leader 199
Avg opportunity
69.5
Top keyword: steps
Avg difficulty
38.3
Lower scores indicate easier wins
Opportunity leaders
- 67.2
steps
Opportunity: 73.0 • Difficulty: 40.5 • Rank 199
Competitors: 68
- 63.8
operation
Opportunity: 73.0 • Difficulty: 38.3 • Rank —
Competitors: 13
- 66.1
charge
Opportunity: 73.0 • Difficulty: 40.0 • Rank —
Competitors: 102
- 66.7
block
Opportunity: 73.0 • Difficulty: 40.4 • Rank —
Competitors: 135
- 64.4
entry
Opportunity: 73.0 • Difficulty: 38.8 • Rank —
Competitors: 44
Unranked opportunities
operation
Opportunity: 73.0 • Difficulty: 38.3 • Competitors: 13
charge
Opportunity: 73.0 • Difficulty: 40.0 • Competitors: 102
block
Opportunity: 73.0 • Difficulty: 40.4 • Competitors: 135
entry
Opportunity: 73.0 • Difficulty: 38.8 • Competitors: 44
random
Opportunity: 73.0 • Difficulty: 40.8 • Competitors: 127
High competition keywords
free
Total apps: 163,500 • Major competitors: 2,214
Latest rank: — • Difficulty: 52.9
different
Total apps: 94,817 • Major competitors: 854
Latest rank: — • Difficulty: 50.3
available
Total apps: 88,778 • Major competitors: 1,008
Latest rank: — • Difficulty: 50.5
real
Total apps: 84,329 • Major competitors: 964
Latest rank: — • Difficulty: 50.1
user
Total apps: 66,246 • Major competitors: 473
Latest rank: — • Difficulty: 48.7
All tracked keywords
Includes opportunity, difficulty, rankings and competitor benchmarks
| Major Competitors | |||||||
|---|---|---|---|---|---|---|---|
| steps | 73 | 100 | 41 | 67 10,319 competing apps Median installs: 50 Avg rating: 4.1 | 199 | 199 | 68 major competitor apps |
| free | 65 | 100 | 53 | 87 163,500 competing apps Median installs: 100 Avg rating: 4.2 | — | — | 2,214 major competitor apps |
| step | 69 | 100 | 46 | 76 36,869 competing apps Median installs: 50 Avg rating: 4.2 | — | — | 326 major competitor apps |
| image | 70 | 100 | 45 | 74 25,697 competing apps Median installs: 50 Avg rating: 4.0 | — | — | 149 major competitor apps |
| list | 69 | 100 | 47 | 77 40,426 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 259 major competitor apps |
| option | 72 | 100 | 43 | 71 17,962 competing apps Median installs: 75 Avg rating: 4.1 | — | — | 162 major competitor apps |
| available | 67 | 100 | 50 | 83 88,778 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 1,008 major competitor apps |
| program | 72 | 100 | 43 | 71 17,229 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 126 major competitor apps |
| write | 72 | 100 | 42 | 70 15,451 competing apps Median installs: 75 Avg rating: 4.1 | — | — | 102 major competitor apps |
| operation | 73 | 100 | 38 | 64 6,493 competing apps Median installs: 25 Avg rating: 3.9 | — | — | 13 major competitor apps |
| interface | 69 | 100 | 46 | 77 39,483 competing apps Median installs: 25 Avg rating: 4.1 | — | — | 146 major competitor apps |
| power | 70 | 100 | 46 | 76 35,322 competing apps Median installs: 75 Avg rating: 4.1 | — | — | 331 major competitor apps |
| text | 69 | 100 | 47 | 77 40,546 competing apps Median installs: 75 Avg rating: 4.1 | — | — | 323 major competitor apps |
| tool | 69 | 100 | 47 | 78 48,223 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 168 major competitor apps |
| real | 67 | 100 | 50 | 82 84,329 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 964 major competitor apps |
| charge | 73 | 100 | 40 | 66 8,844 competing apps Median installs: 75 Avg rating: 4.1 | — | — | 102 major competitor apps |
| knowledge | 71 | 100 | 44 | 73 24,067 competing apps Median installs: 25 Avg rating: 4.2 | — | — | 91 major competitor apps |
| block | 73 | 100 | 40 | 67 9,701 competing apps Median installs: 100 Avg rating: 4.2 | — | — | 135 major competitor apps |
| transformation | 71 | 100 | 35 | 58 2,963 competing apps Median installs: 50 Avg rating: 4.3 | — | — | 17 major competitor apps |
| output | 72 | 100 | 36 | 60 3,766 competing apps Median installs: 50 Avg rating: 4.0 | — | — | 7 major competitor apps |
| entry | 73 | 100 | 39 | 64 7,017 competing apps Median installs: 25 Avg rating: 4.1 | — | — | 44 major competitor apps |
| qr | 72 | 100 | 42 | 70 14,313 competing apps Median installs: 25 Avg rating: 4.1 | — | — | 90 major competitor apps |
| user | 68 | 100 | 49 | 81 66,246 competing apps Median installs: 50 Avg rating: 4.1 | — | — | 473 major competitor apps |
| calculation | 72 | 100 | 37 | 61 4,591 competing apps Median installs: 25 Avg rating: 4.1 | — | — | 17 major competitor apps |
| minimal | 72 | 100 | 37 | 62 5,168 competing apps Median installs: 50 Avg rating: 4.3 | — | — | 25 major competitor apps |
App Description
* Performs most commonly used matrix calculations and decompositions (see list below).
* Demonstrates and explains algorithm steps for almost all the functions.
* Draws interactive geometric references when appropriate.
* Provides tutorials (explanations and proofs) for most Linear Algebra concepts. The tutorial topics have links to all other relevant topics, making them understandable for users with minimal prior knowledge of Linear Algebra.
Every effort is being made to ensure user friendly interface and factual accuracy.
The app is, so far, free of charge and free of ads.
It is being continuously updated with new functions, graphs, and proofs.
Suggestions and corrections are welcome!
Write to us at graphmath@aol.com.
List of functions (matrix size up to 8x8):
1. Solution for linear systems, real and complex.
2. Geometric solutions for 3 equation linear systems.
3. Matrix multiplication.
4. Matrix inverse, real and complex.
5. Determinant (row reduction, recursive and permutations methods).
6. Eigenvectors and eigenvalues, both real and complex.
7. Diagonalization.
8. Rotation-scaling similarity transformation.
9. Block-diagonalization transformation.
10. PLU factorization for square matrices.
11. LD(L transposed) factorization for symmetric matrices.
12. Column-Row factorization.
13. QR factorization by 3 existing methods: Gram-Schmidt, Givens rotations and Householder reflections.
14. Singular Value Decomposition (SVD), including using of SVD for Image compression.
15. Polar factorization.
16. Interactive graphs for transformation by 2x2 and 3x3 matrices, with derivation of specific matrix types, such as rotation or reflection.
17. Raising a Matrix to power n, where n is any integer between -10 and 10.
18. Matrix exponentials, x = exp(A*t) * x0.
19. Markov chain calculator.
20. Calculation of Correlation matrices and Principal Component Analysis (PCA).
UI features:
Most recent matrix entry for particular operation and size is saved between program runs.
Input or output matrices can be saved to clipboard and pasted into other input screens in the app, text files and spreadsheets.
Matrix and Linear Equations entries can be saved into table and are available after application is closed and re opened.
Matrix entries can be filled with random numbers, different option