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

The store is selling lemons at 045 each each lemon yields

The store is selling lemons at $0.45 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

In this discussion you will solve quadratic equations by

In this discussion, you will solve quadratic equations by two main methods: factoring and using the quadratic formula. Read the following instructions in order and view the example to complete this discussion. Please com ...

Problem 1a generous university benefactor has agreed to

Problem 1: A generous university benefactor has agreed to donate a large amount of money for student scholarships. The money can be provided in one lump sum of $12 million in Year 0 (the current year), or in parts, in wh ...

Subject precalc algebrayaya invests her savings in two

Subject precalc algebra Yaya invests her savings in two accounts, one paying 4% interest per year and the other paying 10%. She has four times as much invested in the 4% account as in the 10% account, and her annual inte ...

This exercise considers maintenance costs associated with a

This exercise considers maintenance costs associated with a road network connecting villages to a central township. The network is depicted as a tree, with the central township at the root of the tree. Each village is as ...

Find the specified domain and express it in interval

Find the specified domain and express it in interval notation. For f(x) = x 2  - 64 and g(x) = 2x + 3, what is the domain of (g/t)(x)?

Find the average rate of change of gx-x24x2 from x3 to x7

Find the average rate of change of =gx+-x2+4x2 from =x3 to =x7. Simplify your answer as much as possible.

Predict two 2 trends that are likely to impact public

Predict two (2) trends that are likely to impact public service in the future. Next, choose two (2) skills that public personnel managers may seek in response to these trends. Provide a rationale and support your positio ...

Find values of the trigonometric functions of the angle in

Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. (0.15,0.08) (Type an exact answer in simplified form.)

Amanda is selling an antique dining room furniture set

Amanda is selling an antique dining room furniture set through a broker. She wants to get $1200 for herself, but the broker gets 15% of the selling price as commission. What should the selling price be? A. $1380.00 B. $1 ...

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen