Precalculus - Discussion and Quiz

Question 1

 

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

		consistent; x = 0, y = 0; (0, 0)
		consistent; z = -4; (-9)
		consistent; x = 0, y = -4; (0, -4)
		inconsistent

4 points  

Question 2

 

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

		consistent; x = -5, y = -1; (-5, -1)
		consistent; x = 5, y = 1, z = 3; (5, 1, 3)
		consistent; x = 5, y = 1; (5, 1)
		inconsistent

4 points  

Question 3

 

Perform the indicated operation(s), whenever possible. Let A =  and B = . Find A - B.

4 points  

Question 4

 

Write the augmented matrix for the system.

4 points  

Question 5

 

Write the augmented matrix for the system.  

4 points  

Question 6

 

Write the augmented matrix for the system.

4 points  

Question 7

 

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

		x = 9, y = 1;
		x = - , y = ;
		x = , y = ;
		inconsistent

4 points  

Question 8

 

Write the system of equations associated with the augmented matrix. Do not solve.

4 points  

Question 9

 

Write the system of equations associated with the augmented matrix. Do not solve.

4 points  

Question 10

 

Compute the product.

		not defined

4 points  

Question 11

 

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

		consistent; x = 3, y = -5, z = 2; (3, -5, 2)
		consistent; x = 2, y = -5, z = 3; (2, -5, 3)
		consistent; x = 3, y = 2, z = -5; (3, 2, -5)
		inconsistent

4 points  

Question 12

 

Write the system of equations associated with the augmented matrix. Do not solve.

4 points  

Question 13

 

Write the augmented matrix for the system.

4 points  

Question 14

 

Perform the indicated operation(s), whenever possible. Let A =  and B = . Find 

4 points  

Question 15

 

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

		x = -2, y = -6; (-2, -6)
		inconsistent
		x = -2, y = 6; (-2, 6)
		x = 6, y = -2; (6, -2)

4 points  

Question 16

 

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

		consistent; x = 6, y = -4, z = -2; (6, -4, -2)
		consistent; x = 6 + 2z, y = -4 - 4z, z any real number or {(x, y, z)|x = 6 + 2z, y = -4 - 4z, z any real number}
		consistent; x = 6 - 2z, y = -4 + 4z, z any real number or {(x, y, z)|x = 6 - 2z, y = -4 + 4z, z any real number}
		inconsistent

4 points  

Question 17

 

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

		x = , y = - ;
		x = , y = - ;
		inconsistent
		x = , y = - ;

4 points  

Question 18

 

Perform the indicated operation(s), whenever possible. Let A =   and B = . Find A - B.

4 points  

Question 19

 

Compute the product.

		not defined

4 points  

Question 20

 

Compute the product.

4 points  

Question 21

 

Write the augmented matrix for the system.

4 points  

Question 22

 

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution.

		consistent; x1 = 2 + x4, x2 = -4 + 2x4, x3 = -8x4, x4 any real number  or {(x, y, z)|x1 = 2 + x4, x2 = -4 + 2x4, x3 = -8x4, x4 any real number}
		consistent; x1 = 2, x2 = -8, x3 = -2, x4 = -8; (2, -8, -2, -8)
		consistent; x1 = 2 - x4, x2 = -4 - 2x4, x3 = 8x4, x4 any real number  or {(x, y, z)|x1 = 2 - x4, x2 = -4 - 2x4, x3 = 8x4, x4 any real number}
		inconsistent

4 points  

Question 23

 

Perform the indicated operation(s), whenever possible. Let A = , B =  and C = . Find A + B - C.

4 points  

Question 24

 

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

		x =2, y =2; (2, 2)
		x =-1, y =5; (-1, 5)
		inconsistent
		x =2, y =5; (2, 5)

4 points  

Question 25

 

Perform the indicated operation(s), whenever possible. Let A =  and B = . Find