Recent content by tua96426

Thanks Mark. I didn't know how to describe the matrix that I was row reducing.. but yea that's exactly what I meant. Thanks a lot, it cleared a lot of ambiguities. -Sudhi

Homework Statement Is M22 spanned by the following 2x2 matrices: [1,1;0,1] [0,1;1,0] [1,0;1,1] [0,-1;1,0] semi colon means start of new row. Homework Equations The Attempt at a Solution Is this essentially asking me to check if the given matrices form a spanning set? So...

absolutely!

I SEE IT! t(P^{-1}x) = B(P^{-1}x) cool! Thanks a lot.

so that would mean: Ax = tx Where t is the eigenvalue: so P^{-1}tx = BP^{-1}x tx = PBP^{-1}x and we know PBP^{-1} is A so we essentially have tx = Ax but how does this show that P^{-1}x is the eigenvector of B?

Homework Statement if A is similar to B with P^-1 A P = B and x is an eigenvector of A, prove that P^-1x is an eigenvector of B Homework Equations The Attempt at a Solution so far I did this: A = PBP^-1 Ax = PBP^-1x P^-1Ax = BP^-1x B^-1P^-1Ax = P^-1x is that sufficient...

Homework Statement Need to solve the differential equation which models the velocity of a sky diver. Homework Equations dv/dt = -9.8 + 0.0045Av^2 where A is cross sectional area (assume 0.75m^2) v(0) = 0 The Attempt at a Solution ok the problem is to find v(t) as a function time. as...