Matrix Solver Step by Step
ASO Keyword Dashboard
Tracking 76 keywords for Matrix Solver Step by Step in Apple App Store
Matrix Solver Step by Step tracks 76 keywords (8 keywords rank; 68 need traction). Key metrics: 0% top-10 coverage, opportunity 69.7, difficulty 39.7, best rank 29.
Tracked keywords
76
8 ranked • 68 not ranking yet
Top 10 coverage
0%
Best rank 29 • Latest leader 61
Avg opportunity
69.7
Top keyword: determine
Avg difficulty
39.7
Lower scores indicate easier wins
Opportunity leaders
- 63.9
determine
Opportunity: 73.0 • Difficulty: 39.5 • Rank 61
Competitors: 71
- 66.6
steps
Opportunity: 73.0 • Difficulty: 41.2 • Rank 195
Competitors: 117
- 64.1
operation
Opportunity: 73.0 • Difficulty: 38.8 • Rank —
Competitors: 43
- 66.2
charge
Opportunity: 73.0 • Difficulty: 41.9 • Rank —
Competitors: 194
- 66.8
block
Opportunity: 73.0 • Difficulty: 42.6 • Rank —
Competitors: 267
Unranked opportunities
operation
Opportunity: 73.0 • Difficulty: 38.8 • Competitors: 43
charge
Opportunity: 73.0 • Difficulty: 41.9 • Competitors: 194
block
Opportunity: 73.0 • Difficulty: 42.6 • Competitors: 267
entry
Opportunity: 73.0 • Difficulty: 39.6 • Competitors: 84
minimal
Opportunity: 73.0 • Difficulty: 38.3 • Competitors: 50
High competition keywords
free
Total apps: 175,988 • Major competitors: 3,927
Latest rank: — • Difficulty: 55.7
real
Total apps: 105,223 • Major competitors: 1,803
Latest rank: — • Difficulty: 53.7
different
Total apps: 100,115 • Major competitors: 1,708
Latest rank: — • Difficulty: 52.3
available
Total apps: 95,740 • Major competitors: 1,851
Latest rank: — • Difficulty: 54.5
user
Total apps: 77,167 • Major competitors: 982
Latest rank: — • Difficulty: 50.3
All tracked keywords
Includes opportunity, difficulty, rankings and competitor benchmarks
| Major Competitors | |||||||
|---|---|---|---|---|---|---|---|
| matrix | 70 | 100 | 31 | 51 1,176 competing apps Median installs: 550 Avg rating: 3.9 | 29 | 29 | 8 major competitor apps |
| linear | 70 | 100 | 31 | 52 1,321 competing apps Median installs: 550 Avg rating: 4.1 | 32 | 32 | 9 major competitor apps |
| determine | 73 | 100 | 39 | 64 6,980 competing apps Median installs: 400 Avg rating: 4.0 | 61 | 61 | 71 major competitor apps |
| determined | 71 | 100 | 36 | 55 1,981 competing apps Median installs: 567 Avg rating: 4.1 | 61 | 61 | 38 major competitor apps |
| algorithm | 72 | 100 | 38 | 61 4,697 competing apps Median installs: 550 Avg rating: 4.1 | 100 | 100 | 54 major competitor apps |
| determination | 69 | 100 | 28 | 46 588 competing apps Median installs: 300 Avg rating: 3.9 | 111 | 111 | 1 major competitor apps |
| steps | 73 | 100 | 41 | 67 10,194 competing apps Median installs: 400 Avg rating: 4.1 | 195 | 131 | 117 major competitor apps |
| algorithms | 72 | 100 | 37 | 61 4,735 competing apps Median installs: 500 Avg rating: 4.0 | 162 | 162 | 51 major competitor apps |
| free | 65 | 100 | 56 | 87 175,988 competing apps Median installs: 750 Avg rating: 4.1 | — | — | 3,927 major competitor apps |
| step | 69 | 100 | 48 | 77 42,112 competing apps Median installs: 500 Avg rating: 4.1 | — | — | 644 major competitor apps |
| image | 70 | 100 | 46 | 74 27,952 competing apps Median installs: 450 Avg rating: 4.0 | — | — | 304 major competitor apps |
| list | 69 | 100 | 48 | 77 43,622 competing apps Median installs: 350 Avg rating: 4.0 | — | — | 500 major competitor apps |
| option | 72 | 100 | 45 | 71 19,017 competing apps Median installs: 550 Avg rating: 4.0 | — | — | 325 major competitor apps |
| available | 67 | 100 | 54 | 83 95,740 competing apps Median installs: 550 Avg rating: 4.1 | — | — | 1,851 major competitor apps |
| program | 72 | 100 | 44 | 71 18,518 competing apps Median installs: 400 Avg rating: 4.1 | — | — | 230 major competitor apps |
| write | 72 | 100 | 44 | 70 16,684 competing apps Median installs: 500 Avg rating: 4.0 | — | — | 213 major competitor apps |
| operation | 73 | 100 | 39 | 64 7,199 competing apps Median installs: 350 Avg rating: 3.9 | — | — | 43 major competitor apps |
| interface | 69 | 100 | 47 | 77 45,335 competing apps Median installs: 400 Avg rating: 4.0 | — | — | 338 major competitor apps |
| power | 69 | 100 | 48 | 76 38,707 competing apps Median installs: 500 Avg rating: 4.1 | — | — | 619 major competitor apps |
| text | 69 | 100 | 49 | 77 44,006 competing apps Median installs: 550 Avg rating: 4.0 | — | — | 617 major competitor apps |
| tool | 69 | 100 | 48 | 79 53,488 competing apps Median installs: 400 Avg rating: 4.0 | — | — | 384 major competitor apps |
| real | 67 | 100 | 54 | 83 105,223 competing apps Median installs: 550 Avg rating: 4.0 | — | — | 1,803 major competitor apps |
| charge | 73 | 100 | 42 | 66 9,602 competing apps Median installs: 650 Avg rating: 4.0 | — | — | 194 major competitor apps |
| knowledge | 71 | 100 | 45 | 74 26,548 competing apps Median installs: 393 Avg rating: 4.1 | — | — | 193 major competitor apps |
| block | 73 | 100 | 43 | 67 10,442 competing apps Median installs: 788 Avg rating: 4.1 | — | — | 267 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