SOLUTION: Help! Please. 2 -3 1 0 1 0 0 1 0 -1 1 1 3 1 2 -4 Find the determinants

Question 928431: Help! Please.
2 -3 1 0
1 0 0 1
0 -1 1 1
3 1 2 -4
Find the determinants
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
2 -3 1 0
1 0 0 1
0 -1 1 1
3 1 2 -4
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put the system of linear equations into standard form
---
2x - 3y + 1z + 0u = 0
1x + 0y + 0z + 1u = 0
0x - 1y + 1z + 1u = 0
3x + 1y + 2z - 4u = 0
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
solution:
x = 0
y = 0
z = 0
u = 0
---
system matrix
2 -3 1 0
1 0 0 1
0 -1 1 1
3 1 2 -4
---
inverse of system matrix
0.11111111 0.55555556 -0.25925926 0.074074074
-0.33333333 0.33333333 0.11111111 0.11111111
-0.22222222 -0.11111111 0.85185185 0.18518519
-0.11111111 0.44444444 0.25925926 -0.074074074
---
determinant of system matrix = -27
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Solve systems of linear equations up to 6-equations 6-variables:
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