(a) Solve the system of equations. ax + y = a2 x + ay = 1 For...

Question:

(a) Solve the system of equations.
ax + y = a2
x + ay = 1
For what values of a does the system fail to have solutions, and for what values of a are there infinitely many solutions?
(b)Answer the above question for the system.
ax + y = a3
x + ay = 1

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

See More Books

Question Posted: Jun 01, 2016 01:47 AM

See More Questions

Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination.\ 2x + y = 5, 3x + 2y = 6
Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination. 3x + 2y - 3z = -2, 2x + 3y + 2z = -2, x + 4y + 4z = 1
Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination. [6.3] a. x + 2y = 5, 2x - 5y = -8 b. 3x + 4y + 2z = 3, 5x - 2y - 13z = 3, 4x + 3y - 3z = 6
Mick Stone disposed of the following assets during tax year 2020-21: (1) On 19 May 2020, Mick sold a freehold warehouse for 522,000. This warehouse was purchased on 6 August 2008 for 258,000, and was...
An engineer who believed in "save now and play later" wanted to retire in 20 years with $1.5 million. At 10% per year interest, to reach the $1.5 million goal, starting 1 year from now, the engineer...
According to the American Society of Association Executives (ASAE), how many associations operate at the national level in the United States?
Discuss the contribution and feasibility of workforce planning
The amount of denim used daily by the Southwest Apparel Company in its manufacturing process to make jeans is normally distributed with an average of 4000 yards of denim and a standard deviation of...
2. Journalize the following adjusting entries: a. Estimated bad debts expense is 3% of Sales of $100.000. b. Supplies on hand was $2,000. The balance in the Supply account is $6,500. c. Insurance...
A survey of 1,700 shoppers asked, "Does social media influence your purchase decisions?" The results indicated that 20.3% of females responded that their purchase decisions are influenced by social...
Make up a four equations/four unknowns system having (a) A one-parameter solution set; (b) A two-parameter solution set; (c) A three-parameter solution set.
Solve each system. Express the solution set using vectors. Identify the particular solution and the solution set of the homogeneous system. (These systems also appear in Exercise 18.) (a) 3x + 6y =...
Defi ne operating costing.
A release has been planned with 5 sprints. The team, for the sake of convenience, has decided to keep the sprint duration open. Depending on how much they commit and achieve, they decide to wrap up...
Task 3: Reach-truck management 3 Explain why battery-powered reach truck activities at PAPFS are unsatisfactory. Note: You should support your answer, where applicable, using relevant information...
Exercise 6: Black Pearl, Inc., sells a single product. The company's most recent income statement is given below. Sales $50,000 Less variable expenses Contribution margin Less fixed expenses Net...
Your maths problem x+3x-3
Spencer is a 10-year-old boy who has been living in a family-style therapeutic group home for one year. He was removed from his mother's care due to neglect from her drug use and the resulting legal...
A battery with an internal resistance of 0.015 /cell needs to deliver 20-A current at 240 V to the load. Determine the number of cells in series if the electrochemical voltage is 2.0 V/cell.
Complete the equations for the following equilibria and calculate Keq where the Keq expression includes [HO]. Be sure to enter Keq in proper scientific notation. (a) ammonia (acting as a base) reacts...
Find the augmented matrices of the linear systems in Exercises 1-3. 1. x - y = 0 2x + y = 3 2. 2x1 + 3x2 - x3 = 1 x1 + x3 = 0 -x1 + 2x2 - 2x3 = 0 3. x + 5y = - 1 -x + y = - 5 2x + 4y = 4
In Exercises 1 and 2, find a system of linear equations that has the given matrix as its augmented matrix. 1. 2. 011 11 01 2 1 11 1-1 0 3 1 2 1121 4 0 10 2 30
(a) Find a system of two linear equations in the variables x and y whose solution set is given by the parametric equations x = t and y = 3 - 2t. (b) Find another parametric solution to the system in...
XF Ltd. Is an expanding private company in the electric trade. Accounts preparing in January 2019 included the following information: Profit Statement for the year ended 31 st December 2018 Kshs.000...
Check On June 15, 2021, Sanderson Construction entered into a long-term construction contract to build a baseball stadium in Washington D.C., for $340 million. The expected completion date is April...
Q.1 Bassem Company purchased OMR420,000 in merchandise on account during the month of April, and merchandise costing OMR $350,000 was sold on account for OMR 425,000. Required: 1. Prepare journal...

(a) Solve the system of equations. ax + y = a2 x + ay = 1 For...

Question:

Step by Step Answer:

This is how the answer was given in the cited source a Formal ...View the full answer

Linear Algebra

Students also viewed these Linear Algebra questions