 # When the 3 planes of a system of 3 variables are parallel then the ...

## Question

When the 3 planes of a system of 3 variables are parallel then the system has
infinitely many solutions
one solution
no solution
none of the above

Find the product of the two matrices A and B
A = 6 0          B = 2 -1 2 1
1 4                  7 9 12 2
A= 12 -6 12 -6
30 35 50 7
A= 12 -6 12 -6
22 11 10 9
A = 27 6 21 0
22 15 14 7
A= 12-6 12-6
12 11 14 7
none of the above

Find the product of the two matrices A and B:
A = 5 0 B = 6 4 -1
2 5         3 -2 - 0
AB = 30 20 -5
3 -18 2
AB = 30 16 -5
12 0 2
AB - 28 6
33 49
-5 2
AB - 30 20 6
33 7 2
none of the above

In the system:
y = x – 12
y = –x + 8
the graphs of the equations are perpendicular lines, then the system has
no soluton
exactly one solution
infinitely many solutions
none of the above

Find the solution of the following system of equations:
3x + 4y + 5z + 6w = 18
2y + 3z + 4z = 9
7z + 2w = 9
8w = 8

(1, 2, 2, 1)
(1, 0, 0, 1)
(1, 1, 1, 1, )
(–2, 3, 4, 5)

Solve the systems of equations by Elimination:
x + 2y + 3z = 20
3x – 2y + z = 4
5x + 4y – 3z = 10

(2, 4, –1)
(1, 4, 3)
(2, 3, 4)
(3, 0, 0)
none of the above

Solve the systems of equations by Elimination:
2x + 3y + 7z = 12
5x + 2y – 5z = 2
x + 8y – 9z = 0

(0, 0, 0)
(2, 3, 1)
(1, 1, 1)
none of the above

Find the product AB of the two matrices A and B :
2 3 -1         1 3 -2
A    - 2 3 -2         1 2 0
2 3 -3          1 1 1
4 11 -5
AB = 3 10 -6
2 99 -7

4 10 27
AB = 3 22 12
2 -2 5

4 8 -6
AB = 11 7 -2
- 4 5 -4

4 5 -5
AB = 11 6 6
4 2 -5
none of the above

Find the product AB of the two matrices A and B:
2 5 7         1 4 7
A = 3 1 4   B = 5 0 2
1 3 0          1 1 0

56 31 50
AB = 22 16 56
64 60 67

34 15 24
AB = 21 6 34
69 60 76

34 21 58
AB = 28 16 54
16 46 7

34 15 24
AB = 28 17 29
16 4   13

none of the above

Find the product of 7and matrix A:
A = 6 4
0 10

7A= 42 28
0 10

7A = 42 20
0 50
7A = 42.28
O 70
7A = 7 7
0 7

Find the product of 5 and matrix A:

A = 2 4
3 1

If A and B are matrices order 3 x 4, then the sum of matrices A and B is a matrix of order:
6 x 8
3 x 4
4 x 3
3 x 3
none of the above

Solve the system of Equations with Three Varables:
3x + 2y – 7z = –4
2x + y – 3z = 0
5x + 3y – 5z = 6
Note: Write the solution as an ordered triple (x,y,z) in parenthesis with the elements separated by comma: Example (3,1,2)

Solve the system of Equations with Three Varables:
8x + y – 5z = 16
2x + 6y + 4z = 4
5x + 3y – 10z = 10

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