For this quiz, you may use: https://matrixcalc.org/ Show all…

For this quiz, you may use: https://matrixcalc.org/ Show all work, provide justifications when needed. Q1. Let   (6 points) (a) Find a basis for Col(A) (b) Find a basis for Nul(A) (c) Find a basis for Row(A) = Col(AT) Q2. Chose any vector   in Nul(A) and verify (this means compute the product)   (2 points) Q3. Chose any vector in Col(A) and verify  that    (2 points) Q4. Explain why we get the result we do in Q3 (you could state a Theorem if you know one, but I am suggesting use the fact that matrix multiplication is a linear transformation together with properties of linear transformations).  (2 points) Q5. What is the rank of the matrix A?  (1 point) Q6. What is the dimension of Col (A) ? (1 point) Q7. What is the dimension of Nul (A)?  (1 point) Q8. Suppose A is an

*BONUS QUESTIONS* Each point is worth 2 points.  1) Name two…

*BONUS QUESTIONS* Each point is worth 2 points.  1) Name two relevant facts, statistics, data points, etc. that you learned from chapters 1 – 7 that was not covered on the midterm. (2 quality sentences minimum per point = 4 sentences total as the minimum) 

Raisin bread roll from Mama Soo’s Baked Goods Company does n…

Raisin bread roll from Mama Soo’s Baked Goods Company does not have enough number of raisins as required  by 21 CFR Sect 136.160 (which is about requirements for standardized raisin bread, rolls and buns), but it was manufactured under extremely clean and sanitary conditions and practically has no defects (if any, much less than Defect Action Level). Would this bread roll be deemed adulterated? Why or Why not? Please explain briefly.