[PDF] Example of finding the determinant of a matrix

Finding the Determinant of a 3×3 Matrix

The determinant of a matrix is a value associated with a matrix You can only find the determinant of a square matrix (2 rows and 2 columns, 3 rows and 3 columns, etc ) The determinant of the matrix can be used to solve systems of equations, but first we need to discuss how to find the determinant of a matrix

Determinants of 3×3 Matrices Date Period

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Finding the Determinant of a 3×3 Matrix Practice Problems

Step 5: Subtract the upward sum from the downward sum to get the determinant –48 – 91 = –139 Finding the Determinant of a 3×3 Matrix – Practice Page 4 of 4

Example of finding the determinant of a matrix

Example of finding the determinant of a 3×3matrix sigma-matrices10-2009-1 This leaflet will show you how to find the determinant of a 3× 3 matrix B = 4 −1 3 5 2 1 −2 7 0 We will choose the third column with elements 3, 1, 0 The determinant is then given by det(B) = 3×cofactor of 3 + 1× cofactor of 1 + 0× cofactor of 0

New Method to Compute the Determinant of a 3x3 Matrix

Determinants and Cramers Rule

matrix Given a matrix, the minor of an element of that matrix is found using the remaining elements of the matrix after the row and column containing the original element are removed and then evaluated as in example 1 Example 2 will demonstrate this concept using a 3x3 matrix Example 2: Find all the minors of the following 3x3 matrix 02 1

Determinants & Inverse Matrices

A matrix has an inverse exactly when its determinant is not equal to 0 ***** *** 2⇥2inverses Suppose that the determinant of the 2⇥2matrix ab cd does not equal 0 Then the matrix has an inverse, and it can be found using the formula ab cd 1 = 1 det ab cd d b ca Notice that in the above formula we are allowed to divide by the determi-

Matrix Inverses and Determinants Date Period

For each matrix state if an inverse exists 15) Yes 16) Yes Find the inverse of each matrix 17) 18) Critical thinking questions: 19) For what value(s) of x does the matrix M have an inverse? M x x All values except and 20) Give an example of a 3×3 matrix that has a determinant of