Algebra question and answers for July 29, 2023
- Q solve the linear systemX, X, +5X, - X =0x? + x? -2x, +3x? = 03x, x? +8x? + x? = 0x, +3x? -9x, +7x? = 0
- Q Given the linear system:-x+y+2z = a2x-1y+Bz = 31x-ly+2z=3Find the values of a and , if any, such that the system:a) has one single solution, and give the solution.b) has infinite...
- Q Use the backward substitution method to solve the system of equations. If the system is inconsistent, explain. If the system is consistent but has infinite solutions, write correct parametric equations....
- Q Show that U = {(x, y, z)| -x + 2y + 3z = 0} is a subspace of R.
- Q Let L : R ? R be the function defined by L. ([*2)) =1) Show that L is a linear transformation2) Find ker(L)3) Find range (L)4) If S = span{e?,e?}...
- Q Find a 2x2 matrix A such that Av? = w?, Av? = W?, wherev? = (2,5), w? = (3,2).v? =(3,2),W? = (5,2).
- Q Let f? = (2,0,1), f? = (-1,1,3), and f = (0, -2, 1).(a) Show that the set F= {f?.f?. fs} is linearly independent. Thus, show that F is a basis...
- Q If one of the eigenvalues of an n x n matrix A is 0, then which of the following statements must be true?A is not diagonalisable.The determinant of A is...
- Q The goal of this problem is to fit a quadratic function of the form f(x) = c?x + ?x to the data points(-3,-82), (0, -1), (1, -2), (3, -82), using...
- Q Complete the analytic proof for the following.2. The line segments that join the midpoints of the opposite sides of a quadrilateral bisect eachother.
- Q Case Study - Math in Animal Science5. Cattle feeds are specifically formulated to meet the nutritional needs of the cattle. A rancher wants to formulate2,400 pounds of feed containing 14%...
- Q describe each dilation and reflection as itrelates to the parent function y=-6x
- Q fFirst find f+g, f-g, fg and Then determine the domain for each function.gf(x) = 4x - 15x -54, g(x)=x-6(f+g)(x) = (Simplify your answer.)
- Q Solve the following system of linear equations.x1 + x2 + 2x3 = 1x1 + 2x2 - x3 = -2x1+ 3x2 + x3 = 5.
- Q Fifteen years after investing $20,000, a retired couple notices that their investment is worth $28,250 (including simple interest). Find the annual interest rate their money earned during that time. Round...
- Q Use Solver to solve this problemConsider the linear programming problem.Maximize : 6x + 5y + 4zSubject to:2x +y +z ?180x+3y+2z ? 3002x+y+2z ? 240x ? 0, y 20, z 20
- Q Let u =(3, 2,-1), v = (0, 2,-3), and w=(2, 6, 7). Compute the indicated vectors.(a) u x (v Xw)(b) (u X v) X w
- Q Find a unit vector orthogonal to both u and v.u = -3i+2j+ 5kv = 1/2i - 3/4j +1/10k
- Q Given A={{11,3,4},{-9,1,-5},{-12,-2,-5}} Observe that the first column plus twice the second column equal the third column. Find a nontrivial solution Ax=0
- Q For questions 8 through 10, consider the function f(x) = 4x-7x-3.Lasitsmit pidus ort robizuvoiled 20 slo dergelus?8. Use the Rational Zeroes Theorem to list all the possible rational zeroes. 029....
- Q Find the volume of the parallelepiped with sides u, v, and w.u = (2,?6, 2), v = (0, 4,?2), w = (2, 2,-4)
- Q Solve the system of linear equations by graphing.y = - 4x2x+y = -2Use the graphing tool to graph the system.Click toenlargegraphCPoints: 0 of 1QQ
- Q Find the area of the triangle bounded by thelines: x - 2y - 2 = 0, 7x - 4y - 34 = 0, 3x-y-11 = 0.
- Q Which of the following statement(s) is (are) true??1.B)A) I and IIC) 1The set of all 2x2 matrices of the form [] with the standard operations is a vectorspaceThe set of...
- Q Which of the following set is a basis in R*(1)S? = {(1,1,1,1), (0,0,0,0)}S? = {(1,0,1,0), (1,2,3,4), (1,0,0,1))S3 = {(1,-1,1, -1), (1,0,0,0), (1,0,1,0), (0,0,0,1))S4= {(1,0,0,0), (0,1,0,0), (0,0,1,0), (0,0,4,0))(IV)OA) (II)B) NoneO) (M)OD)...
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