Kuta Software - Infinite Algebra 2                                                                                                                                                             Name___________________________________
                          Determinants of 3×3 Matrices                                                                                                                                                                                                         Date________________  Period____
                          Evaluate the determinant of each matrix.
                                        3           −2                 1                                                                                                                                            −3                 2             −3
                          1)   3                    −1               −2                                                                                                                               2)              0              −1              −1
                                        3           −2               −3                                                                                                                                               3                0             −3
                          Evaluate each determinant.
                                          5                3             3                                                                                                                                          −6               −6                 1
                          3)   −4                        −5              1                                                                                                                            4)              3              −5              −2
                                          5                3             0                                                                                                                                            4                3             −3
                                          6                2             −1                                                                                                                                         −2                 5             −4
                          5)   −5                        −4              −5                                                                                                                           6)              0              −3                 5
                                          3              −3                1                                                                                                                                        −5                 5             −6
                                          3                4             5                                                                                                                                            6                5             −3
                          7)   −4                          6             3                                                                                                                            8)   −5                          4             −2
                                          1              −4              3                                                                                                                                            1              −4                 5
                                          −1                −8                 9                                                                                                                                        −5               5             5
                          9)                4                12              −7                                                                                                                       10)   −8                           9           −3
                                        −10                    3               2                                                                                                                                          8              5             9
                                            0           a            b                                                                                                                                12)  What value of x makes the determinant −4?
                          11)   0                        c           d                                                                                                                                                    −2               0             0
                                            0            x            y                                                                                                                                                   −6               x             1
                                                                                                                                                                                                                          −4               0           −1
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                          Kuta Software - Infinite Algebra 2                                                                                                                                                             Name___________________________________
                          Determinants of 3×3 Matrices                                                                                                                                                                                                         Date________________  Period____
                          Evaluate the determinant of each matrix.
                                        3           −2                 1                                                                                                                                            −3                 2             −3
                          1)   3                    −1               −2                                                                                                                               2)              0              −1              −1
                                        3           −2               −3                                                                                                                                               3                0             −3
                                          −12                                                                                                                                                                         −24
                          Evaluate each determinant.
                                          5                3             3                                                                                                                                          −6               −6                 1
                          3)   −4                        −5              1                                                                                                                            4)              3              −5              −2
                                          5                3             0                                                                                                                                            4                3             −3
                                          39                                                                                                                                                                          −103
                                          6                2             −1                                                                                                                                         −2                 5             −4
                          5)   −5                        −4              −5                                                                                                                           6)              0              −3                 5
                                          3              −3                1                                                                                                                                        −5                 5             −6
                                          −161                                                                                                                                                                        −51
                                          3                4             5                                                                                                                                            6                5             −3
                          7)   −4                          6             3                                                                                                                            8)   −5                          4             −2
                                          1              −4              3                                                                                                                                            1              −4                 5
                                          200                                                                                                                                                                         139
                                          −1                −8                 9                                                                                                                                        −5               5             5
                          9)                4                12              −7                                                                                                                       10)   −8                           9           −3
                                        −10                    3               2                                                                                                                                          8              5             9
                                          647                                                                                                                                                                         −800
                                            0           a            b                                                                                                                                12)  What value of x makes the determinant −4?
                          11)   0                        c           d                                                                                                                                                    −2               0             0
                                            0            x            y                                                                                                                                                   −6               x             1
                                                                                                                                                                                                                          −4               0           −1
                                          0
                                                                                                                                                                                                                      −2
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                                                                                                                                                                                Infinite Algebra 2
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