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March 09, 2012




8.4: The Determinant

Objective: Find the determinant of a 
square matrix.

Standard: Linear Algebra 10.0




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What's a "Determinant"?




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Ex. 1﴿ Find the determinant of the matrix.




                                                              3
March 09, 2012



Determinant of a 3x3 Matrix
      Minors and Cofactors
                     1﴿ +/­ matrix

                      2﴿ Expand a row 
                      OR column

                      3﴿ Evaluate




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March 09, 2012



Ex. 2﴿  Find the determinant.




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Determinant of a 3x3 Matrix
      Plan B     1﴿ Copy Columns 1
                 and 2

                 2﴿ Sums of major 
                 and minor diagonals

                 3﴿ Find the 
                 difference




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Ex 3﴿ Find the determinant.




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Ex 4﴿ Find the determinant. Option 1:
                            Option 2:




                                                         8
March 09, 2012




                 9
March 09, 2012




Assignment:

8.4 p. 616 #11, 14, 27, 38, 39, 
44, 45




                                                    10

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