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# Question 2 3 points How Did I Do? What is the rank r of the matrix -2-2-1 11-2 -4-4-5 ? 000 00-2, T= aº sin (a) 16 a 8 a Ω/nQuestion 3 16 points How Did I Do? Format: If you have more than one answer to a question, enter your answers separated by a comma . I no solution exists, enter the single character (without the quale marks Give your answers in exact form (ie do not use decimal approximations Use to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (eg. x'y rather than xy, 2(x+y) rather than 2(x+y) Here is a system of two linear equations with two unknown constants and b -2 a. Write down the matrix of coefficients and the augmented matrix, and put both into echelon form Which statement is true about the rank of the two matrices? The rank of both matrices is always 2, independent of the values of a and b. b. Match the graphs to the cases: .. No solutions The rank of both matrices is always 1, Independent of the values of a and b. The rank of one matrix depends on the values of a and/or b, but the rank of the other matrix does not The ranks of both matrices depend on the values of a and/orb. Show/hide Infinitely many solutions 6-a-y+16-2-7 25-a-z+6-y-4-3 0 Exactly one solution 3/n3/nShow/hide e. For what vake(s) of a can we have no solution to the system of equations? Gm asin (a) Reminder check the formating instructions above 00 a In the case whe equation Range the equ -3- (a) (2 For what values of and do we have intritely many solutions? Give your answer as the pair of coordinates (a,b) Showhide 3 nly mary solutions, the variables and are related by an of 3/nReminder check the formating instructions above Finely in the case where there is exactly one solution, find the formule forze and g in terms of and 08: DC G D 3  Fig: 1  Fig: 2  Fig: 3  Fig: 4  Fig: 5