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Learn how to find the determinant of a 2x2 matrix using color-coding, basic rules and formulas. See examples of positive, negative and variable elements in the matrix and how to solve for them.
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Compute the determinant of a 2x2 or higher-order square matrix with Wolfram|Alpha. Get step-by-step solutions, instant feedback and learning tools for determinants and related topics.
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To find the determinant of a 2x2 matrix, use the formula |A| = (ad - bc), where A is the matrix: [a b] [c d]
Determinant calculation by expanding it on a line or a column, using Laplace's formula. This page allows to find the determinant of a matrix using row reduction, expansion by minors, or Leibniz formula. Leave extra cells empty to enter non-square matrices.
To find a 2×2 determinant we use a simple formula that uses the entries of the 2×2 matrix. 2×2 determinants can be used to find the area of a parallelogram and to determine invertibility of a 2×2 matrix. If the determinant of a matrix is 0 then the matrix is singular and it does not have an inverse.
To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated.
