Compute the following determinant:?

0 ⤊

Compute the following determinant:?

|1 2 -1 0|
|1 0 1 1|
|4 5 0 1|
|0 0 3 2|

2007-10-10 08:01:30 · 3 answers · asked by bdx 1 in Science & Mathematics ➔ Mathematics

3 answers

-3 det(A) + 2*det(B)

.......1,2,0
A = 1,0,1
.......4,5,1

det(A) = -5 -2*(1 - 4)
.......1,2,-1
B = .1,0,1
........4,5,0

det(B) = -5 -2*(-4) -1*(5)
etc,.,.

2007-10-10 08:08:52 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋

|1 2 -1 0|
|0 -2 2 1|
|0 -3 4 1|
|0 0 3 2|
=
|1 2 -1 0|
|0 -2 2 1|
|0 -3 4 1|
|0 0 3 2|
=
| -2 2 1|
| -3 4 1|
| 0 3 2|
= -3+2(-2)
= -7

2007-10-10 08:08:55 · answer #2 · answered by sahsjing 7 · 0⤊ 0⤋

0 + 0 + 0 + 0 - 0 - 0 - 6 - 0 = - 6

2007-10-10 08:13:54 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋