2x2 Matrix Calculator
Calculate determinant |A|, trace, and inverse of a 2x2 matrix.
Input Parameters
Calculation Results
Formula & How 2x2 Matrix Calculator Works
The determinant of a 2x2 matrix [a, b ; c, d] is computed as ad - bc. An inverse matrix exists only if |A| ≠ 0.
- Enter Row 1, Col 1 (a): Input your target parameter value.
- Enter Row 1, Col 2 (b): Input your target parameter value.
- Enter Row 2, Col 1 (c): Input your target parameter value.
- Enter Row 2, Col 2 (d): Input your target parameter value.
- Apply Formula: Calculate using
|A| = ad - bc. - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)
When does a matrix have no inverse?
When its determinant is 0 (a singular matrix).
Authoritative Standards & Verified Reference Citations
Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:
Open government data, scientific datums, and public sector mathematical reference datasets.
Australia's national authority on physical, chemical, and biological metric measurement standards.
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