1. Let A = -6 -1] and b = Show that the equation Ax = b does not have a solution b2 for all possible b, and describe the set of all b for which Ax = b does have a solution.
1. Let A = -6 -1] and b = Show that the equation Ax = b does not have a solution b2 for all possible b, and describe the set of all b for which Ax = b does have a solution.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Section 1.4
-1
and b
-6 3
1. Let A =
Show that the equation Ax = b does not have a solution
for all possible b, and describe the set of all b for which Ax = b does have a solution.
2. [W] The records at a particular two-year college classify a student as a freshman, a sopho-
more, a student that has transferred out, or a student that has graduated. Each year 25% of
students transfer, 15% have to repeat the year, and 60% complete the year. Once a student
has transferred or graduated they have a 100% chance of staying classified that way. Cur-
rently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and
3,000 graduates. Determine the number of students in each category one year from now.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4a621b1-5b2d-4a09-a5c6-e5ead26064e3%2F0fdbfde3-0807-493e-b2c0-32d5bd7ef9c0%2Fudxws5c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Section 1.4
-1
and b
-6 3
1. Let A =
Show that the equation Ax = b does not have a solution
for all possible b, and describe the set of all b for which Ax = b does have a solution.
2. [W] The records at a particular two-year college classify a student as a freshman, a sopho-
more, a student that has transferred out, or a student that has graduated. Each year 25% of
students transfer, 15% have to repeat the year, and 60% complete the year. Once a student
has transferred or graduated they have a 100% chance of staying classified that way. Cur-
rently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and
3,000 graduates. Determine the number of students in each category one year from now.
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