Calculate the reduced row echelon form of the following matrices. Approximate answers should be entered to at least 4 decimal places. (You can also enter fractions such as 5/4). a) (1 2) (3 4) b) (1 2 3) (3 4 9) c) (3 1 0 4) (1 5 2 1) (2 2 4 2) (2 -4 -2 3
I need help solving a system of equations. Each equation has four variables (x1, x2, x3, and x4). Please see attached file
Using the attached file for full description: 1. Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart. A buoy lies in view of both lighthouses, with angles 1, 2, and 3 as indicated. (Angle 1 is denoted by , angle 2 is denoted by , and angle 3 is denoted by .) A. By looking at the picture, d
Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch). Compute the vol
MTH212 Unit 1 - Individual Project A 1. Solve . You must show all work to receive full credit. Show work here: Final Answer: 2. Solve . You must show all work to receive full credit. Show work here Final Answer: 3. The cell phone service for the CEO of a small company is $39.99 a month plus
Using the attached for full description. 1. solve 2(x - 4) = 2[x - 3(x -1) + 2]. You must show all work to receive full credit. 2. solve (x -2) /3 - (x + 5)/6 = (5x -2) /9 3. The cell phone service for the CEO of a small company is $39.99 a month plus $0.10 per minute for long distance. In a month when the company's ph
Overview:Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints. For example, consider an accountant who prepares tax returns. Suppose a form 1040EZ requires $12 in computer resources to process and 22 minutes of the account
Please see attached for question and diagram. A certain engineering system can be represented by mass in a spring, as shown in Figure 1. If the mass is pulled downwards and then released, it oscillates on the spring. Using Newton's second law, a homogeneous second-order differential equation can be set up as below (see attach
Deliverable Length:3-6 pages 1. Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints. For example, consider an accountant who prepares tax returns. Suppose a form 1040EZ requires $12 in computer resources to process a
Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution, subject to stated restraints. For example, consider an accountant who prepares tax returns. Suppose a form 1040EZ requires $12 in computer resources to process and 22 minutes of the accountant's t
Need help in understanding what is going on with this problem: Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact has a unique sol
Please see the attached file for the fully formatted problems. Problem a. quote a theorem which guarantees that there exists an orthogonal basis for (with standard inner product) made up of eigenvectors of matrix b. Find such a basis . c. Represent the quadratic form by a symmetric matrix. Is Q positive definite?
Let V be a , but with the weighted inner product, , ,where and . Let be the linear transformation given by T(a,b,c)=(3a-2c,b,3a+10c). a. Show that T can be diagonalized and find a basis for V comprised of eigenvectors of T. b. Find the matrix of the adjoint of T with respect to the basis . Please see the atta
Let be the real vector space of "symmetric" polynomials of degree at most 4, with inner product a. find a basis for V and determine dim V. b. viewing V as a subspace of R) with the same inner product, find the "closest" point in V to the polynomial. Please see the attached file for the fully formatted problems.
Please see the attached file for the fully formatted problems.
1) Solve the system using row echelon form 2x-3y+2z=-3 Please show step by step. -3x+2y+z=1 4x+y-3z=4 1b) Solve the system y=x^2-2 & 3x-y=1
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.) B. Graph each of the equations on one rectangular coordinate system. (Hint: Y
Let V be a finite-dimensional vector space. The base field F may be either R or C here. Let T, an element of the linear mapping of V to V, L(V), be an operator. Suppose that all non-zero elements of V are eigenvectors for T. Show that T is a scalar multiple of the identity map, i.e., that there is a λ in the Reals such
Consider the following data that show temperature of a 1,000 g sample of water at normal atmospheric pressure as a function of heat supplied. A kJ can simply be thought of a unit of heat. Temperature Heat Supplied 0 oC 0 kJ 10 oC 42 kJ 30 oC 126 kJ 50 oC 209 kJ 80 oC 335 kJ 99 oC 414 kJ 100 0C 420 kJ Base
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be? Make sure to show all work involved.
Please see the attached file for the fully formatted problems.
If you let B = {v1, v2, ..., vk} be a basis of a subspace V of ; and you let Q = (qij) be an n x n matrix such that C = {Q(v1), Q(v2,)...,Q(vk)} is a basis of V. If , what are the coordinates of v with respect to B? Also, if what are the coordinates of Q(v) with respect to C? Please see the attached file for the fully f
If U how would you show U is a subspace? Also, how would you find a subspace V of such that U, V such that X = U + V? Please see the attached file for the fully formatted problems.
If you let B = {v1, v2, ..., vk} be a basis of a subspace V of ; and you let Q = (qij) be an n x n matrix such that C = {Q(v1), Q(v2,)...,Q(vk)} is a basis of V. If , what are the coordinates of v with respect to B? Also, if what are the coordinates of Q(v) with respect to C?
Supppose a baseball is thrown at 85 miles per hour.The ball will travel 320 ft when hit by a bat swung at 50 miles per hour and will travel 440 ft when hit by a bat swung at 80 miles per hour. Let y be the number of ft traveled by the ball when hit by a bat swung at x miles per hour.(Note: The precceding data is valid for 50 les
If you assume {v1, v2, ..., vk} and , and you also assume {v1, v2, ..., vk} are linearly independent and {v1, v2, ..., vk, w} are linearly dependent. How would you show that w can be uniquely expressed as a linear combination of {v1, v2, ..., vk}? Also, if the zero vector is included among the vectors {v1, v2, ..., vk}, w
Problem #3. Please see the attached file for the fully formatted problems.
From differential equations. Please explain each step of your solution for #1 and #2.
Solve the system a)2x+8y=17 b) solve x^2+y^2=4 3x-5y=4 x+y=1
Solve the following model for the prices of two goods, tea and coffee, demonstrating that one gets the same answer by using either variable elimination or matrix algebra. You must use both methods. Show all steps. The price of tea is Pt and the price of coffee is Pc. Quantities are assumed to adjust outside the model. Pt=8Pc