Question: need help how to solve this stuck from converting it to ref (1,1,a) 1. 8 marks] Consider the following linear system C3 (a-1)x2 a1 +

need help how to solve this stuck from converting it to ref (1,1,a)

1. 8 marks] Consider the following linear system C3 (a-1)x2 a1 + ax2 a X3 for some fixed constant a e R. (a) Find the conditions on a such that the linear system has no solution. (b) Find the conditions on a such that the linear system has a unique solution, and find the solution for these values of a. You may need to leave your answer in terms of a. (c) Find the conditions on a such that the linear system has a infinitely many solutions, and find provide a general solution for these values of a. You may need to leave your answer in terms of a. Show your steps clearly, including the elementary row operations used

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Matlab Help Please This is the first part of the question I require a matlab code 4. Plot the determinant and reciprocal condition number vs u. You might find a log y axis, using the plot command...

i'm stuck i want to solve these two questions Q-1: a) [12 marks] Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 +X3 =-1 . (x1 - 2x2 -X3 = 2 a1 a2 a3 2a3 2a2 2a1 b) [8...

Amath 301 Homework 2: Due Tuesday 7/19 at 4pm Summer 2016 Exercise 1: Bacterial Concentrations On account of a combined sewer and storm drain system, heavy rains periodically force Seattle Public...

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

Apply the inverse transformation method as indicated next to generate three random observations from the uniform distribution between 10 and 40 by using the following uniform random numbers: 0.0965,...

Sheldon and Leonard had a million-dollar idea. In order to make it happen, they have to do special research first. Only Kripke can help them in this matter. But Kripke is known to be the first-class...

Generally, individuals who are eligible to receive Social Security retirement benefits, but are under full retirement age A ) will have their Social Security retirement benefit reduced by $ 1 for...

Gordon Corporation produced 10,000 digital watches in the current year. Variable costs are $8 per watch. Overhead assigned is $2.25 per watch. A supplier offers the watches for $9.50 each. Gordon's...