Question

I have some questions

Answer 1

We can't read your mind.

Answer 2

Better off posting them here.

Answer 3

A= (1,-2 ,1) B=(1,2,3) C=(1/6,1/3,1/6) D=(1,0,0) E=(1,1,1) I=(1,0,0)
(2,1,2) (4,5,6) (-2/5,1/5,0) (0,2,0) (1,1,1) (0,1,0)
(1,0,-5) (7,8,9) (1/30,1/15,-1/6) (0,0,3) (1,1,1) (0,0,1)

x=(x1)
(x2)
(x3)

Compute the following products:
(a) AB

(b) BA

(c) \[A ^{T} A\]

(d) AI

(e) IA
(f) AC
(g) ED
(h) DE
(i) Dx
(j) Ix

2. A dampened spring system (an example is a car chassis for an individual wheel, where
the shocks serve as dampeners and the springs as, well, springs) can be modeled by
the following initial value problem

\[my (t) +\gamma y' (t) + ky(t) = fext(t)\]
y(t0) = y0
y (t0) = y0
where  is the dampening (or friction) coefcient and  is the spring constant. Write
the second order linear initial value problem as a two dimensional system of first order initial value problems. Pose this in matrix format.

Answer 4

Having trouble with it mostly c d i j and #2