Linear Algebra A Modern Introduction David Poole Fourth Edition 2015
4th Edition
ISBN: 9781305016958
Author: David Poole
Publisher: Cengage Learning
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3) Use the following system of linear inequalities graphed below to answer the questions.
a) Use the graph to write the symbolic form of the system
of linear inequalities.
b) Is (-4,2) a solution to the system? Explain.
5
-7
-5
-3
-2
0
2
3
4
$
6
-2
-6
-7
) Graph the feasible region subject to the following constraints.
x + y ≤ 6
y ≤ 2x
x ≥ 0, y ≥ 0
P
+
x
Solve the following system of equations:
50x+20y=1800
10x+3y=300
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- 2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)arrow_forwardPlease type out answerarrow_forwardPlease type out answerarrow_forward
- Please type out answerarrow_forwardUsing f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. Please type out answerarrow_forwardThe function f(x) = log x is transformed to produce g(x) = log (x) – 3. Identify the type of transformation and describe the change. Please type out answerarrow_forward
- Each graph below is the graph of a system of three linear equations in three unknowns of the form Ax = b. Determine whether each system has a solution and, if it does, the number of free variables. A. O free variables ✓ B. no solution C. no solution D. no solution E. 1 free variable F. 1 free variablearrow_forwardSolve the following systems of equations and show all work.y = x2 + 3y = x + 5 Please type out answerarrow_forwardSolve the following system of equations. Show all work and solutions.y = 2x2 + 6x + 1y = −4x2 + 1 Please type out answerarrow_forward
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