Alg. II (honors) Matrices Practice (fixed)
State the dimensions of the matrix.

2 x 4

2 x 3

[
2   2   -1   11

3  6  10  9

-1  0    4   8

3 x 4

3 x 3

]
a23
A=
[
-5       0     -3      7

-1     2     5     0

9       9      6     -1
8     -5      0     -9
Identify the indicated element
a41
]
a11
[
-8     -5

-4    4

Find the sum. 

 -6,  -4

]

 5,8

+
[

 2    0

2      1
]

=

[

2,  -6

  3,  4

 -2          4

]

7

-1      0     5    3

 1       1     4     0
2       5     4     1
Simplify  the second row.
=
[
Can the following matrices be multiplied together?
6     0      2

2    4    0

]

no

yes

[
1   1   1

2   8   9

6
7
]
w=

6

4f
Find the values of the variables.
-w2
3
k=
=

2k

36
f=
-25
3
F H =
F =
4     9

2   3

Find the following.

H=

1    1

1     1
4F    +   G =
F =
[
6    9

2   3

]
Find the following.
G =
[

-3  6

2    0
]

In May, Bob bought 38 balls.  In June, he sold 19.

In May, Sam bought 44 balls.  In June, he sold 21.

Write a matrix to show their May purchases and June

sells.

Bob
Sam
May
June

-3

=
-5
Find the difference.
[
6
2
9
0
-

-1

5
4
3
7
6
]
Find the determinant.

5

1
3
2

12

15

13

17

Find the determinant.

-1 

2
6
3

  11

  -12

  0

   12

x=
7

3

Find the value of the variables.
-1
6
=
y=

3

-1
x

3

[
-3
6

-4
2
1
0
5
]
Find the product.
=

-4

-8
Find the difference. 
-5
4

    -6,  -4

    5,8

-

 2

2
0
1

  -10,   -6

2,  -6

=

 -6 

____     ____
4
Can you multiply a 5x3 matrix and a 3x3 matrix?
Can you add a 4x2 matrix and a 4x3 matrix?
(type yes or no in each box)

If you multiply a 5x6 matrix and a 6x2 matrix,

then the dimensions of the answer will be....

x
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