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This leaflet will show you how to find the determinant of a 3 × 3 matrix. We will choose the third column with elements 3, 1, 0. The determinant is then given by. Note that we don’t need to work out the cofactor of 0 since it is going to be multiplied by zero. 5 2 = 35 + 4 = 39. The place sign of 3 is. 7 +, so the cofactor is 39. −1 4 − 2 = 26.
The determinant of a matrix is equal to the determinant of the transposed matrix i.e. Therefore, if there is a zero in the first column, transpose and calculate the determinant or use the alternative formula.
In the next leaflet in the series we will provide an example of finding a determinant in the most efficient way. Note that a video tutorial covering the content of this leaflet is available from sigma.
Determinants, 3x3.pdf - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Scribd is the world's largest social reading and publishing site.
For example, if A is a 4×4 matrix, the cofactor expansion along any row or column involves calculating four cofactors, each of which involves the determinant of a 3×3 matrix.
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
Determinants_3x3 - Free download as PDF File (.pdf), Text File (.txt) or read online for free.
