Download 4-1 Skills Practice

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4-1
DATE
PERIOD
Skills Practice
NAME
DATE
PERIOD
4-1 ~: Practice (Average)
Introduction to Matrices
Introduction to Matrices
State the dimensions of each matrix.
State the dimensions of each matrix.
1.[-3 -3 711 X3
~o
[,
2X3
2.-2
3.
16 0
7 -I
3X4
Solve each equation.
?9
4. [4x 42] = [24 6y] (6, ’7)
5. [-2,x 22 -3z] = [6x -2y 45] (0, --11, -15)
5¯9[33 4-3-4-5612 >< 4.
[_1]
6. -~
-3
6"[2y +6~1 = I-36
171 (--6, 7)
-
3
(-3’2)
8"[-~ 6Y]:[-2y+-13~]
Solve each equation.
7.[5x 3y]=[15 12] (3, 4)
7.[~; - 381 = I2y +2301 (4, 1)
I- 6=8y-SJ(-’,’)
- 121
9"L-3y+6J:L
8.[3x-2]=[7] 3
10. [2y --51
3x+
~J [~y5
,,
3z: x-41]
(-1 5z
-1 1)11.
[y+8~] [Y+178]
:
(7, 13)
-14
11.[£-~]=[24] (4,5)
13.[25~.] = [
10.[2x -8y z] = [10 16 -1] (5, --2, --1)
12. [3~xx + 18~] = [-~1] (3,--2)
2O
12.[56-6y]:[180~]
(2,4)
14. TICKET PRICES The table at the right gives
ticket prices for a concert. Write a 2 X 3 matrix
that represents the cost of a ticket.
13. L3x+ 2yJ=
8 15 22
-2O
= L3y - lOJ (0, -2)
15.[94~ ; ~] = [~ _3~] (1,--1)
16.[3x +1~1 ~.8z]=[127 2y -284] (2, 11, 7)
17. 16 =
L 3zJ
18. 4y 8zJ =
(9, 4, 3)
$6
$12
$18
$8
$15
$22
CONSTRUCTION For Exercises 15 and 16, use the following information.
During each of the last three weeks, a
Week I
Week 2
Week 3
road-building crew has used three truck-loads
Load 1 40 tons Load 1 40 tons Load 1 32 tons
of gravel. The table at the right shows the
amount of gravel in each load.
Load 2 32 tons Load 2 40 tons Load 2 24 tons
Load 3 24 tons Load 3 32tons Load 3 24 tons
15. Write a matrix for the amount of gravel
in each load.
’
Child Student Adult
Cost Purchased
in Advance
Cost Purchased
at the Door
40 40 a2 or a2 40 24
:32 24 24
24 a2 24
19. [:.-.-y +2~] : IS] (3~ ~ )
© Glencoe/McGraw-Hill
16. What are the dimensions of the matrix? 3 X 3
171
Glencoe Algebra 2
© Glencoe/McGraw-Hill
172
Glencoe Algebra 2