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**Linear Algebra Homework help!!**

## Homework Statement

Suppose a particular object is modelled as moving in an elliptical orbit centered at

the origin. Its nominal trajectory is described in rectangular coordinates (r;s) by the

constraint equation x1r^2 +x2s^2 +x3rs = 1, where x1; x2; and x3 are unknown parameters that specify the orbit. We have available the following noisy measurements of

the object’s coordinates (r;s) at ten different points on its orbit:

(0:6925;0:0592) (0:3582;0:4110) (0:2514;0:3763) (0:0764;0:5453)

(0:4249;0:3768) (0:6917;0:0252) (0:3831;0:2116) (0:0027;0:3801)

(0:0865;0:3628) (0:5428;0:2889)

Using the assumed constraint equation, arrange the given information in the form of

the linear system of equation Ax + b, where A is a known 10x3 matrix, b is a known

10 x1 vector, and x = (x1; x2; x3)^T.

This system of 10 equations in 3 unknowns is inconsistent. We wish to ﬁnd the solution x that minimizes the Euclidean norm of error Ax +b. Compare the solution obtained by using the following MATLAB invocations, each of which in principle gives the desired least-square-error solution:

(a). x = A\b

(b). x = pinv(A) *b

(c). x = inv(A'*A)*A'*b

Plot the ellipse that corresponds to your estimate of x. Attach the m-ﬁl

I am way over my head guys! please help a girl out!