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Fred promises to give Jean a unique sculpture in exchange for Jean painting Nick’s house, but instead, Fred sells the sculpture to Cloe before Jean begins the job; this act by Fred constitutes  ________________________ which excuses Jean from performing. Once the sculpture has left Fred’s possession, there is no way that Fred can fulfill the promise to give the sculpture to Jean.  

A man by the name of George Hawkins took his son to Dr. Edward McGee and asked him to operate on his son’s hand.  McGee said his son would be in the hospital for three to four days and that his hand would probably heal a few days later.  The son’s hand did not heal for a month. McGee also told the father, “I guarantee if your son has the operation, his hand will be restored 100%.”  

Describe your contributions to the project.

Carlos, age 72, goes to Dr. Chen for his annual well check physical exam.  “How have you been feeling, Carlos?” asks Dr. Chen.  “I feel great, and as active as ever!  Nothing is slowing me down and I feel as healthy as a horse,” says Carlos.  Dr. Chen discovers Carlos has prostate cancer, but it appears to be a slow growing cancer.  Dr. Chen thinks treatment aggressive treatment is always the best course of action.  Dr. Chen reasons, “I am the doctor, I know what my patients need. I will try to steer Carlos toward aggressive treatment because I am the expert and know what is best for him.”    Dr. Chen’s reasoning is an example of:

List your group members full names and describe the contribution of each group member.   Example: Agatha performed background research on malpractice, Hubert put together the slides, etc.

List 5 important facts from the syllabus and/or course schedule after reading the attached document. 

Consider $$A = \begin{bmatrix}&3 & 5 & -2 & 1 &0 \\&1 & -1 & 0 & 3 &0 \\&-6 & -10 & 4 & -2 &0 \\&2 & -2 & 0 & 5 & 2\\\end{bmatrix}$$   a) Find the nullspace of A (Nul(A) = span{…}).   b) Find a basis for the column space of A.   c) Is A invertible? Justify your answer using part b).  

Augment the following matrix with the identity then find its inverse. $$A = \begin{bmatrix}&3 &6 & 3 \\&1 & 2 & 2 \\& -2 & 2 & 8\end{bmatrix}$$

From which country in the world are you taking this course?

Let $$A = \begin{bmatrix}&1 &2 & 1 & 0 \\&3 & 3 & 2 & 0 \\&23 & 64 & 19 & 5 \\&5 & 4 & -1 & 0\end{bmatrix}$$   a) Use the row reduction algorithm to find det(A). b) Use the cofactor method to find the det(A). Your answers from parts a) and b) should agree