Setup from system.
AskSia parses the linear equations and assembles the augmented matrix correctly.
Setup
AI Solver by AskSia
Augmented Matrix Solver: row-reduced to the solution
Type or photograph the augmented matrix or the linear system. AskSia performs Gaussian elimination or Gauss-Jordan reduction, labels each row operation, and reads the solution from the reduced form.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is an augmented matrix?
An augmented matrix represents a linear system Ax = b by writing the coefficient matrix A next to the constant vector b, separated by a vertical line: [A | b]. Each row corresponds to one equation, and each column on the left corresponds to one variable. Applying elementary row operations to the augmented matrix corresponds to elementary operations on the system. After reaching row-echelon form (or RREF), the solution can be read off directly or by back-substitution.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Augmented Matrix.
Every step transparent, every answer self-checked.
Row operations shown.
Every elementary operation labeled with multiplier and rows used.
Transparent
Reach REF or RREF.
AskSia picks the appropriate target form for the question being asked.
Flexible
Solution interpreted.
AskSia reads off the unique solution, parametrized family, or detects inconsistency.
Complete
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Augmented Matrix problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
Hi! What are we studying today?
Ask about your homework, lecture, or readings...↑
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Augmented Matrix solver covers.
Solve a 3x3 system.
Three variables, three equations. Augment, reduce, solve.
3x3
Find the inverse.
Augment A with the identity, reduce; the right half is the inverse.
Inverse
Compute rank.
Number of non-zero rows in row-echelon form.
Rank
Null space basis.
Set up Ax = 0, reduce, identify free variables, write basis vectors.
Null space
Check consistency.
A row 0 = c with c non-zero means no solution. AskSia flags it.
Edge case
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
Why use an augmented matrix instead of equations?
Writing the system as an augmented matrix lets you apply row operations directly without rewriting the variables in every equation. The bookkeeping is much cleaner: each column tracks one variable's coefficients, and you only need to manipulate numbers. The final row-echelon form gives the solution structure by inspection.
What is the rank of an augmented matrix?
The rank of an augmented matrix is the number of non-zero rows in its row-echelon form. The system Ax = b has a solution if and only if rank of the augmented matrix equals rank of A. If they differ, the system is inconsistent. If they are equal but less than the number of unknowns, the system has infinitely many solutions.
How does AskSia handle inconsistent systems?
If during row reduction AskSia produces a row of the form (0, 0, ..., 0 | c) with c non-zero, the system has no solutions. AskSia stops the reduction at that point and reports the inconsistency along with the contradiction equation 0 = c. The geometric interpretation is also given when relevant.
Can the augmented matrix have negative or fractional entries?
Yes. The augmented matrix entries can be any real (or complex) numbers, including negatives, fractions, and irrationals. AskSia uses exact arithmetic when possible (keeping fractions and radicals exact) and numerical arithmetic when the system is large. The row operations work the same way regardless of the type of entries.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Setup, reduce, read the solution.
Join 2M+ students using AskSia to solve augmented matrix problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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