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16 points

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Format:

• If you have more than one answer to a question, enter your

answers separated by a comma.

If no solution exists, enter the single character "n" (without the

quote marks).

• Give your answers in exact form (i.e. do not use decimal

approximations).

• Use * to explicitly indicate multiplication between variables and

other variables, between variables and brackets, or between

sets of brackets (e.g. 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 a and

b.

25 a y+ 6 x=2

16-a-x+6y=7.b

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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,/nb. Match the graphs to the cases:

No

solutions

1.

-2

Exactly one

solution

ע

-1

4

-2-

-4

--

1

Fig: 1

Fig: 2