2 × 2 Matrix Multiplication
Multiply two two-by-two matrices in the stated order.
Your numbers
Product row 1, column 1
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Cᵢⱼ = Σ Aᵢₖ Bₖⱼ
Multiply two two-by-two matrices in the stated order.
Worked example
- Row 1, column 1
- 1
- Row 1, column 2
- 2
- Row 2, column 1
- 3
- Row 2, column 2
- 4
- B: row 1, column 1
- 5
- B: row 1, column 2
- 6
- B: row 2, column 1
- 7
- B: row 2, column 2
- 8
- Product row 1, column 1
- 19
- Product row 1, column 2
- 22
- Product row 2, column 1
- 43
- Product row 2, column 2
- 50
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: e89b3a9100bf · Example checked: