Matrices Homework -- Homework: Determinants 1.1 2008/10/13 10:47:15.549 GMT-5 2009/01/07 14:48:26.792 US/Central Kenny Felder KFelder@RaleighCharterHS.org Kenny Felder KFelder@RaleighCharterHS.org algebra determinants matrices matrix This module provides practice problems related to determinants. | 3 4 5 6 | aFind the determinant by hand. bFind the determinant by using your calculator. cFinally, use your calculator to find the determinant of the inverse of this matrix. You should not have to type in the inverse by hand. What did you get? Can you make a generalization about the "determinant of an inverse matrix"? | 1 2 3 n | = 2 aWhat is n? bCheck your answer by using your calculator. |24613n579| size 12{ lline matrix { 2 {} # 4 {} # 6 {} ## 1 {} # 3 {} # n {} ## 5 {} # 7 {} # 9{} } rline } {}= | 2 4 6 1 3 8 5 7 9 size 12{ lline matrix { 2 {} # 4 {} # 6 {} ## 1 {} # 3 {} # 8 {} ## 5 {} # 7 {} # 9{} } rline } {} | aFind the determinant by hand. bFind the determinant by using the formula you found in #3. cFind the determinant by using your calculator. A triangle has vertices at (-1,-2), (1,5), and (3,4). aDo a quick sketch of the triangle. bSet up a determinant that will find its area. cEvaluate that determinant (use your calculator) to find the area. dCan you think of any other way to find the area of this triangle? Use your calculator to find the determinant | 1342653895974120 size 12{ lline matrix { 1 {} # 3 {} # 4 {} # 2 {} ## 6 {} # 5 {} # 3 {} # 8 {} ## 9 {} # 5 {} # 9 {} # 7 {} ## 4 {} # 1 {} # 2 {} # 0{} } rline } {}|. Make up a 3×3 matrix whose determinant is zero. (Do not use all zeros!) Try to find its inverse on your calculator. What happens?