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Find inverse and determinants of matrices

Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

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Page 1: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

Page 2: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 3: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 4: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 5: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 6: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 7: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 8: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 9: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

Page 10: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices

A-1 is the inverse of A

A x A-1 = I

ad – bc = determinant

(i.e. tells us about the inverse)

Det(A) = 0: A-1 does not existDet(A) = 1: A is “singular”

Det(A) ≠ 1: A is “non-singular”

Page 11: Find inverse and determinants of matrices. A -1 is the inverse of A A x A -1 = I

Find inverse and determinants of matrices