(ii) An automobile company uses three types of steel S1, S2 and S3, for producing three types of cars C1, C2 and C3. Steel requirements (in tons) for each type of car, and the availability are given below: Type of Steel Type of car Ca Availability of Steel (in tons) C2 C3 S1 3 4 29 Sz 1 1 13 S3 3 2 1 16 (a) Formulate the system of linear equation that describes the above information. (b) Determine the number of cars of each type, solving the above system in (a).

Please I need help on the question below. Thank you!   For this Big Problem, we’ll combine matrices and sets! (1) Let’s come up with some personalized sets. Think about five people in your social circle; friends, co-workers, relatives, classmates, any five people. Write down a list of these people including yourself as the first person (2) Now for each person make a list of who else they know on the list. For shorthand, list each person as 1, 2, 3, 4, 5, 6 (1 is you and the other five are 2 − 6.) This is actually just a list of subsets of {1, 2, 3, 4, 5, 6}! Each social group is a subset. (3) Do you think a Venn diagram would help you visualize these six social groups? Why or why not? (4) Instead of drawing a diagram we can use a 6 × 6 matrix: Row 1 will be your social group, Row 2 will be the social group of Person 2, etc. Column 1 will be person 1, Column 2 will be Person 2, etc. Fill in the rows one at a time by putting a 1 if that column is a person in the social group and a 0…

List all of the 3×5 RREFs with three leading ones. If such matrices areaugmented with a bar between columns 4 and 5, what are the possiblegeometries of their solution sets?

Please determine all 2x2 matrices A with property That AB=BA

The sequence of numbers we’re generating are traditionally constructedlike this: Start with the first 2 numbers. To get the next number, take the 2most recent numbers and add them together to get the next one.Explain why our matrix vector multiplication is generating the same numbersas the traditional procedure.