week 2 true or false

Jul 14th, 2014
Price: $10 USD

Question description

If you think the statement is true, then show that it is true. On the other hand, if you think the statement is false, then give an example that disproves the statement. For example, the statement "If A and B are matrices of the same order, then A - B = B - A" is false and an example that disproves it is equation1.png

For equation2.png

while equation3.png

Such an example is called a counterexample.

  1. True or false: A system comprising two linear equations in two variables has a unique solution if and only if the straight lines represented by the equations are nonparallel.
  2. True or false: Suppose the straight lines represented by a system of two linear equations in two variables are parallel to each other. Then the system has infinitely many solutions.
  3. True or false: If A and B are matrices of the same order, then .equation4.png
  4. True or false: If A and B are matrices such that AB and BA are both defined, then A and B must be square matrices.
  5. True or false: If A is a square matrix with inverse A^-1 and c is a nonzero real number, then  equation5.png.
  6. True or false: If AX = B is a system of n linear equations in n unknowns and A^-1   does not exist, then AX = B does not have a unique solution.

Tutor Answer

(Top Tutor) Daniel C.
School: UCLA

Studypool has helped 1,244,100 students

Review from our student for this Answer

Jul 15th, 2014
"all I can say is wow very fast work, great work thanks"
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1828 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors