Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem1 The reduced row echelon form of

630_matrix_1.jpg is equal to

382_matrix_2.jpg

(a) What can you say about row 3 of A? Give an ex of a possible third row for A.

(b) Determine the values of a and b.

(c) Determine the solution of the homogeneous system of equations Rx = 0 in parametric vector form.

(d) What is the dimension of the column space of A? Do the columns of A span R3 ?

problem 2 Suppose an economy has four sectors, Agriculture (A), Energy (E), Manufacturing (M), and Transportation (T). Sector A sells 10% of its output to E and 25% to M and retains the rest. Sector E sells 30% of its output to A, 35% to M, and 25% to T and retains the rest. Sector M sells 30% of its output to A, 15% to E, and 40% to T and retains the rest. Sector T sells 20% of its output to A, 10% to E, and 30% to M and retains the rest.

(a) Construct a diagram that shows the exchange between the three sectors.

(b) Determine the exchange table for this economy, where the columns describe how the output of each sector is exchanged among the four sectors.

(c) Denote the prices of the total annual outputs of the sectors by pA, pE, pM and pT respectively. Determine the equations that need to hold for the equilibrium prices for the four sectors.

(d) Find the equilibrium prices, if they exist.

problem 3

Balance the following chemical equation using the vector equation approach. PbN6 + CrMn2O8 → Pb3O4 + Cr2O3 + MnO2 + NO

problem 4

Let

1610_matrix_3.jpg

(a) For what values of h is 3 v in Span {v1, v2}? Justify your answer.

(b) For what values of h is {v1, v2, v3} linearly dependent? Justify your answer.

problem 5
Consider the linear transformation (a) Find the image of (3, - 2, 2) under T.

(b) Does the vector (5, 3) belong to the range of T?

(c) Determine the matrix of the transformation.

(d) Is the transformation T onto? Justify your answer

(e) Is the transformation one-to one? Justify your answer

problem 6

a) For each of the following matrices describe why the matrix is not invertible.
i)

1392_matrix_4.jpg

ii)

1170_matrix_5.jpg

iii)

1025_matrix_6.jpg

b) Suppose A is an n×n matrix with the property that the equation Ax = 0 has only the trivial
solution. Without using the Invertible Matrix Theorem, describe directly why the equation
Ax = b must have a solution for each b in Rn

Math, Academics

  • Category:- Math
  • Reference No.:- M91230

Have any Question? 


Related Questions in Math

Question 1a researcher claims that the amounts of

Question 1 A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg claimed by the manufacturer. Test this claim at the 0.02 level of significance. Th ...

Suppose we have a cyclic data-dependence graph with nodes a

Suppose we have a cyclic data-dependence graph with nodes a, b, c, and d. There are edges from a to b and from c to d with label h0; 1i and there are edges from b to c and from d to a with label h1; 1i. There are no othe ...

Suppose 2400 is invested in an account at an annual

Suppose $2,400 is invested in an account at an annual interest rate of 6.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?

Use the simplex method to maximize p 8x9y subject to 3x2y

Use the simplex method to maximize P= 8x+9y subject to 3x+2y is less than or equal to 12 6x+1y is less than or equal to 15 X is greater than 0 Y is greater than 0

Preparenbspan excelreg spreadsheet containing the

Prepare  an Excel® spreadsheet containing the following: Rhode Island  SELECT VARIABLES:  Snap Participants, Wic participants, Snap authorized stores, wic authorized stores Construct  a frequency table and histogram for ...

In a set of 105act scores where the mean is 22and the

In a set of 105ACT scores, where the mean is 22and the standard deviation is 5.39,(a) how many scores are expected to be lower than 16.61(one standard deviation below the mean)? (b) How many of the 105scores are expected ...

The polynomial gx-006x4nbsp140x3-53x2179xnbspmeasures the

The polynomial G(x)=-.006x 4  +.140x 3 -.53x 2 +1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 10 and 11 seconds?

Distribution strategiesone very important decision that

Distribution Strategies One very important decision that marketers need to make is which  channel of distribution  to use for its products or services. Four primary considerations need to be analyzed before making the di ...

You are going to design an advertisement for a new

You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a nu ...

Find the x- and y-intercepts of the line represented by the

Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them. 10x + 3y = 15

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro