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Calcimator

Matrix Calculator

Perform matrix operations: addition, subtraction, multiplication, determinant, and transpose for 2x2 matrices.

Inputs

Results

Result [1,1]

6

Result [1,2]8
Result [2,1]10
Result [2,2]12
Determinant of A0
Trace of A5

Result [1,1]

6

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Operation — Select the matrix operation. Determinant and transpose use only Matrix A. Choose from: Addition (A + B), Subtraction (A - B), Multiplication (A × B), Determinant of A, Transpose of A. default: 1.
  3. Matrix A [1,1] — Top-left element of Matrix A default: 1.
  4. Matrix A [1,2] — Top-right element of Matrix A default: 2.
  5. Matrix A [2,1] — Bottom-left element of Matrix A default: 3.
  6. Matrix A [2,2] — Bottom-right element of Matrix A default: 4.
  7. Expand "Advanced Options" for additional fine-tuning. These optional inputs let you model more specific scenarios:
  8. Matrix B [1,1] — Top-left element of Matrix B (for addition/subtraction/multiplication) default: 5.
  9. Matrix B [1,2] — Top-right element of Matrix B default: 6.
  10. Matrix B [2,1] — Bottom-left element of Matrix B default: 7.
  11. Matrix B [2,2] — Bottom-right element of Matrix B default: 8.
  12. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  13. Result [1,1] — shown as a numeric value. This is the primary result of this calculator.
  14. Result [1,2] — shown as a numeric value.
  15. Result [2,1] — shown as a numeric value.
  16. Result [2,2] — shown as a numeric value.
  17. Determinant of A — shown as a numeric value.
  18. Trace of A — shown as a numeric value.
  19. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

For 2x2 matrices: det(A) = a₁₁a₂₂ - a₁₂a₂₁

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