### Linear system

Solve the linear system. State whether the system is inconsistent, dependent, or neither. x/6 + y/3 = 8 x/4 + y/2 = 12

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Solve the linear system. State whether the system is inconsistent, dependent, or neither. x/6 + y/3 = 8 x/4 + y/2 = 12

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See the attachments. Let F be a field and . Then is an n - dimensional vector space over F. Define a function by . (a) Show that T is a linear operator. (b) Find the characteristic and minimal polynomials for T, with explanation. (For the characteristic polynomial, recall that you will need to choose a basis for

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1. Solve the system of equations by elimination. 7x + 8y = -55 4x + 5y = -34 2. Ron and Kathy are telemarketers. Ron contacts potential home buyers and is paid $30.00 for each buyer he gets to work with a realtor at the company. Kathy contacts potential sellers and is paid $65.00 for each seller she gets to discuss l

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Please help with the following problems. 1. Let u1 = (1,2,1,-1) and u2 = (2,4,2,0). Extend the linearly independent set {u1,u2} to obtain a basis for R4 (reals in 4 dimensions) 2. Let U1,U2 be two subspaces of a finite dimensional vector space V such that U1+U2 = V. Prove that there is a subspace W of U1 such that W (+)

Please help me solve the following system of three equations and discribe the methods that are being used to help me understand: X + Y + Z = 6 2X - Y + 3Z = 8 3X - 2Y - Z = -17 Thank you!

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Obtain a state-space model of the system shown in Fig. 3 (see attached file).

Hello all! I humbly apologise in advance if I'm posting inappropriately, or asking for a solution that is technically beneath you. Problem is as follows: "When Mary was half as old as Sam was when Mary was as old as Sam was when Mary was as half as old as Sam is now, Sam was four times as old as Mary was when Sam was

See attached file for full problem description.

Let A be a 3 x 3 real orthogonal matrix with det A = 1. Prove that λ= 1 is an eigenvalue of A.

The solution to the system of equations x + 3y = 12 4x - y = -17 is: A. (3,3) B. (12, -17) C. (-3,5) D. (5,3)

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Solve for x and y in the following two sets of simultaneous equations: 4x-2y = 1 ......(i) 8x-4y = 1 ......(ii) y = 2x + 3.......(i) 2y - 4x = 6 .....(ii)

(See attached file for full problem description) --- 2. Finding Unknowns Determine the unknowns in the circuit shown in Fig.3. How do electrical engineers use Kirchoff's current law and Kirchoff's voltage law to write a system of linear equations? ? Based on your explanation, write a system of linear equations for Pro

Using the least squares method answer the following in a word doc. · What are the main strengths of this method? · What are its main shortcomings? · When would least squares be useful in the real world? · Does the use of linear algebra make this method easier to understand or use?

I think the answer to this problem is true because 2x1 comes first and that coincides with 200. If I am wrong please explain. The question is The constraint 2x1 - x2 = 0 passes through the point (200,100). True or False.

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