question 2 3 points how did i do what is the rank r of the matrix 2 2

Question

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