Homework TDue 112512018 t) Solve the following system. Express the solution usin
ID: 3195008 • Letter: H
Question
Homework TDue 112512018 t) Solve the following system. Express the solution using vectors. 2) Solve the following system. Express the solution using vectors 2x+4y + z = 0 z-2y + 52 = 17 2x-4y +62 = 12 62-12y + 182=36 3) Find a polynomial function f(x) = ar + br2 + cx + d whose graph passes through the points 4) Write the following system as an augmented matrix. Then using Gaussian elimination solve the system. Express the solution using vectors. -2,12),(-1,-9,(1, -3) and (3,27)u g v 5) For which value(s) of the constant k does 6) Consider the system of equations the following systems of linear equations have no solutions? Exactly one solution? Infinitely many solutions? ax + by = k cx + dy = 1 -y 3 21-2y = k Discuss the relative position of the lines a+by-k, cr + dy-land ex + f = m when a) The system has no solutions b) The system has exactly one solution c) The system has infinitely many solutions 7) For which values of a will the following system have no solutions? Exactly one solution? Infinitely many solutions? 8) Solve the following system of nonlinear equations for the unknown angles , , and 2T, 0 , where 0Explanation / Answer
1)
A= [3 -4 1 ; 2 4 1 ; 1 -2 5]
b = [19;0 ;17]
inv(A)
x = inv(A)*b
A =
3 -4 1
2 4 1
1 -2 5
b =
19
0
17
ans =
0.2340 0.1915 -0.0851
-0.0957 0.1489 -0.0106
-0.0851 0.0213 0.2128
x =
3
-2
2
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