Show that det(A) = 0 without directly evaluating the determinant. A = [-4 1 1 1 1; 1 -4 1 1 1; 1 1 -4 1 1; 1 1 1 -4 1; 1 1 1 1 -

Question

MaRussiya [10]

3 years ago

5

Show that det(A) = 0 without directly evaluating the determinant. A = [-4 1 1 1 1; 1 -4 1 1 1; 1 1 -4 1 1; 1 1 1 -4 1; 1 1 1 1 -

4]

Mathematics

2 answers:

Anuta_ua [19.1K] · Answer 1 · 2022-08-26T20:40:07+03:00

Anuta_ua [19.1K]3 years ago

8 0

You could interpret them as system of equation and answer the question easily

from A

-4x + y + x + w =1

write in same form from A

as this system has five variables and four of them are unknowns it means the unique solution is not possible

So, det (A) = 0