You have probably noticed that when a matrix has no inverse, one of the rows is a multiple of another row For a 2 ( 2 matrix, this also means that the products of the diagonals are equal, or that the difference of these products is 0 This difference of the diagonals is called the determinant of the matrix For any 2 ( 2 matrix The determinant is ad bc Make up some 2 ( 2 matrices that have a determinant with value 1 Find the inverses of these matrices Describe the relationship between the entries of each matrix and its inverse matrix Make up some 2 ( 2 matrices that have a determinant with value 2 Find the inverses of these matrices Describe the relationship between the entries of each matrix and its inverse matrix Write a conjecture about the inverse of a matrix and how it relates to the determinant Test your conjecture with several other 2 ( 2 matrices Does your conjecture hold true regardless of the value of the determinant i8 18 18 18 4

Question

You have probably noticed that when a matrix has no inverse, one of the rows is a multiple of another row  For a 2 ( 2 matrix, this also means that the products of the diagonals are equal, or that the difference of these products is 0  This difference of the diagonals is called the determinant of the matrix  For any 2 ( 2 matrix The determinant is ad   bc  Make up some 2 ( 2 matrices that have a determinant with value 1  Find the inverses of these matrices  Describe the relationship between the entries of each matrix and its inverse matrix  Make up some 2 ( 2 matrices that have a determinant with value 2  Find the inverses of these matrices  Describe the relationship between the entries of each matrix and its inverse matrix  Write a conjecture about the inverse of a matrix and how it relates to the determinant  Test your conjecture with several other 2 ( 2 matrices  Does your conjecture hold true regardless of the value of the determinant  i8 18 18 18 4

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When det 1 When det 2 Conjecture If a matrix is thought of ...

Question: You have probably noticed that when a matrix has no inverse, one of the rows is a multiple of another row. For a 2 (

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