This question was found on the “Dot Product” webwork assignment. This was question 1.
Category: Assignment Posts (Page 2 of 6)
Post due Sunday, November 3
The instructions for this activity are similar to those for the Test #1 review activity.
Test #2 is scheduled for Monday, November 4. As a class, you will create a review sheet here on the OpenLab. Each student will solve one problem and post their full solution on the OpenLab. You may take a photo of your hand-written work and place it directly in your post, or you may upload it to Dropbox or Google drive (or some other file-sharing platform) and copy-paste the link to your photo in your OpenLab post.
Topics:
- Sections 3.1, 3,2, 4.1 to 4.8 (note: you may need some material that was covered on Test #1 as well)
- Make sure all the topics are represented; don’t solve a problem that one of your classmates has already posted the solution for.
Resources: choose one problem to solve from:
- textbook homework problems
- WeBWorK
Your post must include:
- Where you found the problem (for example, “textbook homework exercise 4.4.1”)
- Your complete solution, showing all your work
- Title: Test #2 Review
- Category: Test #2 Review
6(a). True – The transpose of an invertible matrix is an invertible matrix
Ex:
A=
det(A) = -2*-1/2 – 3/2 = -1/2
A^T=
det(A^T) = -2*-1/2 – 3/2 = -1/2
6(b). False – Every system of linear equations has exactly one solution
Infinite Solutions:
x+y=1, 2x+2y=2
2x+2y=2 is basically x+y=1 when divided by 2.
Graph:
No Solutions:
x+y=0, x+y=1
One Solutions:
x+2y=1, 2x+2y=2
Intersects at (1,0)
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