Step by Step Solver to Calculate the Determinant
of a 3 by 3 Matrix

Calculate the determinant of a 3x3 matrix using cofactor expansion. Generate random matrices and see detailed step-by-step solutions.

📐 3x3 Determinant Calculator

Cofactor expansion along the first row

✨ The determinant of a 3x3 matrix can be calculated using cofactor expansion. Select any row or column, compute minors and cofactors, then sum the products of elements and their cofactors.
\( \begin{bmatrix} 2 & -1 & 3 \\ 1 & 0 & 2 \\ -2 & 4 & 1 \end{bmatrix} \)
Find the determinant. Click "Show me" for each step.

📖 Step-by-Step Solution

STEP 1: Write down the determinant D of the 3×3 matrix
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STEP 2: Write down the sign chart for a 3×3 determinant
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STEP 3: Find minors and cofactors for the first row
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STEP 4: Calculate the determinant using cofactor expansion
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