A matrix arranges values in rows and columns for operations such as finding a determinant.
Matrix Calculator
Form
Results
Matrix
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Table of Contents
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What is Matrix?
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How to Use This Calculator
- Enter or select a1, a2, b1, b2.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
For [[a,b],[c,d]], det(A) = ad − bc
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Variables Explained
| Input | What it means |
|---|---|
| a1 | A value or coefficient in the formula above; keep the displayed position and sign. |
| a2 | A value or coefficient in the formula above; keep the displayed position and sign. |
| b1 | A value or coefficient in the formula above; keep the displayed position and sign. |
| b2 | A value or coefficient in the formula above; keep the displayed position and sign. |
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Worked Example
[[2,1],[3,4]] has determinant 8 − 3 = 5.
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Why Use This Calculator?
Compare a small matrix’s determinant and trace without rearranging its entries.
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Common Mistakes
- A matrix operation depends on entry order. Confirm what output this page labels before interpreting it.
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Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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