Question

Let A = l -1 1 l
l -3 5/2 l Compute A^1000.

Answer 1

matrix ?

Answer 2

Ikram tothe rescue again x)

Yes sir.

Answer 3

hehe :P lol im suddly sir xD

Answer 4

Maybe xp

Answer 5

You have a variety of strategies here.

You can calculate A^2 and A^3, and see if there exists any kind of pattern, and then form a conjecture on what A^1000 could be.

You could also factor A into XDX^(-1) where D is the diagonal matrix formed from A's eigenvalues, and where X is a matrix whose columns are the eigenvectors of A.

Then A^1000 = X D^1000 X^(-1). Multiplying diagonal matrices by themselves is easy since you just multiply their diagonal entries.

Answer 6

so what i see is this
Aِ^100=A×A.....(100 times)
\(\large A_{2×4}×ِِِِA_{2×4}\) gives u
a matrix lets say \large \(M_{2×4}\)
lol just do what T said , im reapeating the same steps here hehe

Answer 7

Thank you both :p

Answer 8

why dnt u solve it lol
dnt thank just solve :P

Answer 9

I'm trying (x