× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
k
1
1
1
1
1
o
1
Home Q & A Board Guidance Academic Guidance
New Topic  
anphelpme anphelpme
wrote...
Posts: 1
Rep: 0 0
11 years ago
Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g. What can you say about the numbers a, b, c, and d? (Note: x_# means variable x with a subscript number)
a(x_1)+b(x_2)=f
c(x_1)+b(x_2)=g

This is the beginning of linear algebra. I get stuck after putting this into an augmented matrix.
Thank you mathematicians!
Read 411 times
1 Reply

Related Topics

Replies
wrote...
#1
11 years ago
Have you learned about determinants? I'm not sure how to answer this question without them.

If the system is consistent for all f and g, then the determinant of the matrix
[a b]
[c d]
is not zero.

Writing the expression for that determinant answers the question.
New Topic      
Quick Reply
Explore
Post your homework questions and get free online help from our incredible volunteers
  908 People Browsing
Start New Topic Take the Tour CoursesNew Study Tools Topics Trending Browse by Textbook
Live Chat
Related Images
  
 49
  
 85
  
 304
Your Opinion
Who will win the 2024 president election?
Votes: 3
Closes: November 4
Previous poll results: Which industry do you think artificial intelligence (AI) will impact the most?