@amistre64 Help me !!!

what is the determinate of the matrix whose every entry below the minor diagonal , i.e. the diagonal from the top left to the bottom right, is 0

Question

@amistre64  Help me !!!

what is the determinate of the matrix whose every entry below the minor diagonal , i.e. the diagonal from the top left to the bottom right, is 0

amistre64 · Answer

|dw:1373381157393:dw|

isnt it the product of the diagonal?

amistre64 · Answer

2 3
0 1

2(1) - 3(0)

amistre64 · Answer

0
23423
01201
00500
      2(1)(5) + 000

amistre64 · Answer

its the product of the diagonal entries

caozeyuan · Answer

@amistre64 ， sorry my mistake, the entries below the MINOR diagonal, not the MAJOR one. It should be the diagonal you didn't draw

caozeyuan · Answer

@amistre64  I mean the MINOR diagonal

amistre64 · Answer

if your talking about the bottom left to top right ... its still applicable, but with a sign change

2 3
1 0

the diagonal is 1,3  the determinant is -1(3)

2 3 3
1 1 0
1 0 0

   the diagonal is 1,1,3  the determinant is -1(1)(3)

caozeyuan · Answer

so it's the product of -1 and all the diagonal entries?

amistre64 · Answer

yes

caozeyuan · Answer

Oh thx!

amistre64 · Answer

youre welcome