Question

Determine which property of determinants the equation illustrates. 1 3 2 0 0 0 96 -8 = 0 If one row of a matrix is a multiple of another row, then the determinant of the matrix is zero. If one row of a matrix consists entirely of zeros, then the determinant of the matrix is zero. If two columns of a matrix are interchanged, then the determinant of the matrix changes sign. If a row of a matrix is multiplied by a scalar, then the determinant of the matrix is multiplied by that scalar. none of these

Answer 1

the This This broken property of determinants eavation o If one row of rely of terminant entinely of zer a matrix Consists zero's, then the deten of the matroix is zero I at Concidon a determinant ran 912 913 I I 921 922 923 I a3 a32 933) 1 ag 022 023 0 about determinant now the he 1st exband's Pow are this get 0.11 ag1 a3 212 213 azn 22191/a22. 933 - 093 032) 40 (angles a32 933 ) - 012 (421833 - 931923) +913 (221932-931922) - 1003-0.931) - 9.20-093 -0.931) + 013 (6.32-0.231 Sena 227 = 222 = 223207 QUO-0120 - 913.0- = 0

-5 6 -1 - -5 -1 6 17 12 7 2 The property inustrate this ix o If two Collomns of a matrix then the defenminant of the sign arco interchanged arro. 1 Changed of the matroix tenminant do terminant - we conciden the s all 921 931 012 922 932 913 | 923 933 I laut how now the expand's this about 1991 92 923 (23033-123951) 931031 033 - 02/121933-031 tas (221932-a3, are) now Collomr inter changing the and and 3rd Mahot and we expanding about me all 0130121 923 922 =an (123932 933 922 ) - 013 (921938-910) 233 52 +2126091035 - 931993) --A11 (492.933 - 093 032) +912 (921933 – 931 923) — 913 (121932 - an (22.013-093 051)-12. (091435-0310, + 213(01091 - 031420 a 12013 - 021 02 033 231 232 233 -11)