Question

Can someone help me prove a property of singular matrices?

Answer 1

If A and B are matrices, then det(AB) = ?

Answer 2

the det(A)*det(B)

Answer 3

So det(A^2) = ?

Answer 4

det(a)^2

Answer 5

it is det(A)*det(A)

Answer 6

Finally, what is det(A^10) ?

Answer 7

det(a)^10

Answer 8

So take the determinant of both sides of your equation.

Answer 9

lol so basically A must equal 0

Answer 10

No, det(A) = 0. Which is the definition of a singular matrix.

Answer 11

lol that is what i meant

Answer 12

Thanks Jemurray

Answer 13

There u go I gave u a medal :D

Answer 14

Thank you :)