# matrix test review

```PreCalculus
Name___________________________________
&copy;j k2X0Q1b7Q FKHu\t\aN zS_oFfDtNwrabrSeK TLbLhCN.y S zAElslm _rEiNgXh[tGsP IrheQsleTrqvXeGdr.
Matrix Test Review
Date________________ Period____
Simplify. Write &quot;undefined&quot; for expressions that are undefined.
1)
2
-6
-2 - -3
-5
-4
3)
yx
-4 y
-2xy
5)
5
4
-6
2
2)
5y
1 + xy
-5x y-6
-2
-1
&times;
1
-6
4
-5
3
5
-5
0
-5
yx
xy
q2
-5
4) -5 -4
6)
-2
-2
5r + 6
3
-1
2
-6 - 6
-1
&times;
6
-1
3
4
-2q
4p
-2
-6
-2
1
-5 &times; -2
1
3
6
0
-6
Worksheet by Kuta Software LLC
Evaluate each determinant.
7)
4
-4
1
1
8)
-2
2
1
-1
10)
2
6
-9
8
12)
2
5
-6
-7
For each matrix state if an inverse exists.
9)
10
-1
10
-1
Find the inverse of each matrix.
11)
-1
5
-2
10
Worksheet by Kuta Software LLC
Solve each equation.
7
-17
13) X - 3 = -12
-2
6
15)
10
-10
-3
1
- 2B =
-11
7
4
2
17)
-13
24
6
1
=
-27
3
14)
-25
10
16) -2X -
15
= -5X
-30
-3
17
=
-10
16
1
Y
-6
Worksheet by Kuta Software LLC
18)
-9
11
-7
20
X=
8
-20
19) Stefan and Emily each improved their yards by planting daylilies and geraniums. They bought their
supplies from the same store. Stefan spent \$152 on 4 daylilies and 9 geraniums. Emily spent \$188 on 4
daylilies and 12 geraniums. Find the cost of one daylily and the cost of one geranium.
20) Rob and Dan are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes
and apple cheesecakes. Rob sold 6 French silk cheesecakes and 11 apple cheesecakes for a total of
\$272.35. Dan sold 10 French silk cheesecakes and 12 apple cheesecakes for a total of \$341.88. Find the
cost each of one French silk cheesecake and one apple cheesecake.
Worksheet by Kuta Software LLC
PreCalculus
Name___________________________________
&copy;a ^2z0B1y7f ]KvuPtyaA VSkoEfRtcw[aJrWee FLFLJCf.Y o TAJlRlQ jrKiygGhrtfsK KriecsheQrGvxesdE.
Matrix Test Review
Date________________ Period____
Simplify. Write &quot;undefined&quot; for expressions that are undefined.
1)
2)
2
-6
-2 - -3
-5
-4
q2
4p
-5
5r + 6
-2q
q2 + 6
-5 - 2q
5r + 4 p
8
1
-1
3)
yx
-4 y
-2xy
5y
1 + xy
-5x y-6
-2
0
-5
yx
xy
4) -5 -4
14
3
-6 - 6
-13
-2
-6
36
Undefined
5)
5
4
-6
2
-49
-21
-1
&times;
1
-10
17
-6
4
-5
3
5
-5
6)
-2
-2
-1
2
-1
&times;
6
-1
3
4
-2
1
-5 &times; -2
1
3
6
0
-6
Undefined
Worksheet by Kuta Software LLC
Evaluate each determinant.
7)
4
-4
1
1
8)
-2
2
1
-1
0
8
For each matrix state if an inverse exists.
9)
10
-1
10
-1
10)
2
6
-9
8
12)
2
5
-6
-7
Yes
No
Find the inverse of each matrix.
11)
-1
5
-2
10
No inverse exists
-7
1
&times;
16 -5
6
2
Worksheet by Kuta Software LLC
Solve each equation.
7
-17
13) X - 3 = -12
-2
6
14)
-10
-9
4
15)
10
-10
-3
1
- 2B =
-11
7
4
2
-25
10
15
= -5X
-30
5
-2
-3
6
16) -2X -
-3
17
=
-10
16
-7
-3
10
-2
-9
1
17)
-13
24
6
1
=
-27
3
-6
-7
1
5
1
Y
-6
Worksheet by Kuta Software LLC
18)
-9
11
-7
20
X=
8
-20
4
-8
19) Stefan and Emily each improved their yards by planting daylilies and geraniums. They bought their
supplies from the same store. Stefan spent \$152 on 4 daylilies and 9 geraniums. Emily spent \$188 on 4
daylilies and 12 geraniums. Find the cost of one daylily and the cost of one geranium.
daylily: \$11, geranium: \$12
20) Rob and Dan are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes
and apple cheesecakes. Rob sold 6 French silk cheesecakes and 11 apple cheesecakes for a total of
\$272.35. Dan sold 10 French silk cheesecakes and 12 apple cheesecakes for a total of \$341.88. Find the
cost each of one French silk cheesecake and one apple cheesecake.
French silk cheesecake: \$12.96, apple cheesecake: \$17.69
Worksheet by Kuta Software LLC
```