Result
Result reflects the current submitted inputs.
- Risk B
- Reviewed 2026-05-26
- 2 sources
Breakdown
- Operation
- determinant
- Matrix A dimensions
- 2x2
- Display precision
- 6
- Only real-number matrices from 1x1 through 3x3 are supported.
- Inverse and determinant require square matrix A.
- Matrix B is used only for add, subtract, and multiply.
- Intermediate matrix operations are not rounded; display uses the selected precision.
Accuracy notes
- Risk level
- B
- Reviewed
- 2026-05-26
- Sources
- 2
- Primary result
- Result matrix
Formula logic is kept in a pure calculator module with fixtures, source notes, and page-visible assumptions.
What the result means
Use Result matrix as the headline answer for matrix. Copyable matrix result with semicolon-separated rows. Use the primary result for the matrix task, then check the secondary outputs for context. Use determinant, trace, and rows to explain why result matrix moved when an input changed. Copy the result only after the inputs, assumptions, and source notes match your case. Check unit handling, rounding, included inputs, excluded inputs, and source version before treating the result as final.
Use the result this way
- Start with Result matrix, then use supporting outputs only to explain the primary answer.
- Verify operation, matrix A, and matrix B before copying the result.
- Choose the mode or method first because it can change which formula is applied and stay within the documented minimum and maximum ranges.
- Copy the result only after the inputs, assumptions, and source notes match your case.
User job
How to use this calculator
Use Matrix Calculator when you need result matrix, then use determinant and trace to check the context for quick number work, classwork, spreadsheet checks, and explaining a calculation to someone else.
Best for
- Checking the core numeric relationship
- Comparing the main result with supporting outputs
- Reviewing a default example before entering your own operation and matrix a.
Check before relying
- Confirm sign, decimal, percent, and rounding assumptions before copying the number.
- Only real-number matrices from 1x1 through 3x3 are supported.
- Inverse and determinant require square matrix A.
- Source context: OpenStax, Rice University, reviewed 2026-05-26.
Next useful step
- Basic CalculatorUse next when you need result from expression and decimal places after checking result matrix.
- Fraction CalculatorUse next when you need result from first numerator and first denominator after checking result matrix.
- Scientific CalculatorUse next when you need result from expression and angle mode after checking result matrix.
Formula
Small real matrices are parsed from text and processed with element-wise operations, matrix multiplication, transpose, Gaussian-elimination determinant, and Gauss-Jordan inverse. Key assumptions: Only real-number matrices from 1x1 through 3x3 are supported. Inverse and determinant require square matrix A. Matrix B is used only for add, subtract, and multiply.
- Small real matrices are parsed from text and processed with element-wise operations, matrix multiplication, transpose, Gaussian-elimination determinant, and Gauss-Jordan inverse.
- Only real-number matrices from 1x1 through 3x3 are supported.
- Inverse and determinant require square matrix A.
- Primary source context: OpenStax, Rice University.
Inputs
Enter operation, matrix A, matrix B, and decimal places for number checks, homework, spreadsheet review, and quick comparisons. Before calculating, choose the mode or method first because it can change which formula is applied and stay within the documented minimum and maximum ranges. Operation: Choose a small-matrix operation. Matrix A: Separate rows with semicolons or newlines, and columns with commas or spaces. Matrix B: Required for add, subtract, and multiply. Decimal places: Round displayed matrix entries and scalar outputs from 0 to 10 places.
Example
Enter operation, matrix A, matrix B, and decimal places and review the result panel for the calculated outputs.
FAQ
How is result matrix calculated here?
Small real matrices are parsed from text and processed with element-wise operations, matrix multiplication, transpose, Gaussian-elimination determinant, and Gauss-Jordan inverse. The first assumption to check is: Only real-number matrices from 1x1 through 3x3 are supported.
What does Result matrix mean for matrix?
Use the primary result for the matrix task, then check the secondary outputs for context. Secondary values such as determinant, trace, and rows are there to explain the primary answer, not to replace it.
What should I enter for Operation?
Choose a small-matrix operation. Choose the mode or method first because it can change which formula is applied and stay within the documented minimum and maximum ranges.
How does Matrix A change result matrix?
Separate rows with semicolons or newlines, and columns with commas or spaces. Changing it can alter result matrix because the formula uses the submitted inputs together. Also compare unit handling, rounding, included inputs, excluded inputs, and source version.
What should the matrix example help me verify?
Use the example to confirm the input scale, unit direction, and output format. Use it to confirm the calculator is behaving as expected, then replace every default value.
Why does rounding matter for result matrix?
Rounding affects the displayed answer and can compound if you reuse the number. Keep more precision for intermediate work when the next step depends on it.
Sources
Last reviewed: 2026-05-26
- Reviewed 2026-05-26College Algebra with Corequisite Support 2e, Section 7.7: Solving Systems with InversesOpenStax, Rice University. Determinant and inverse concepts for square matrices.
- Scope
- English-language algebra source for determinants, inverse matrices, and small matrix operations.
- Supports
- Determinant and inverse concepts for square matrices.
- Limits
- This packet implements only small real matrices and does not produce row-reduction steps.
- Reviewed 2026-05-26JAMA Matrix Class DocumentationNational Institute of Standards and Technology. Matrix multiplication, transpose, determinant, and inverse as standard matrix operations.
- Scope
- NIST-hosted Java matrix package documentation for standard matrix operations.
- Supports
- Matrix multiplication, transpose, determinant, and inverse as standard matrix operations.
- Limits
- API documentation, not a page-specific product spec; this packet separately defines parsing, limits, and precision.
Disclaimer
This calculator is an educational estimate based on the inputs and assumptions shown on the page.