Matrix Worksheet
Name:______________________________
Date:__________ Period:______________
Solve for x, y, z, and w:
⎛ 8 22 ⎞ ⎛ x − y ⎞ ⎛ −3 54 ⎞
1) ⎜
+ ⎜
= ⎜
⎟
⎟
⎟
⎝ 42 5 ⎠ ⎝ 2w z ⎠ ⎝ 6 17 ⎠
⎛ 2 −10 ⎞ ⎛ x 7 y ⎞ ⎛ −13 24 ⎞
2) ⎜
⎟ + ⎜ 5w 9 z ⎟ = ⎜ 36 12 ⎟
6
−
3
⎝
⎠ ⎝
⎠ ⎝
⎠
y ⎞ ⎛ −13 −9 ⎞
⎛ −45 −1 ⎞ ⎛ − x
3) ⎜
+
= ⎜
⎟
⎜
⎟
⎟
⎝ −19 −3 ⎠ ⎝ −8w 9 z ⎠ ⎝ 21 24 ⎠
⎛ 2 x −7 y ⎞ ⎛ 12 −14 ⎞
4) ⎜
= ⎜
⎟
⎟
2
8
z
5
w
12
⎠
3
⎝
⎠ ⎝
⎛ 5 x
5) ⎜
⎝ 7
3
5
2
7
y ⎞ ⎛ 110 −14 ⎞
⎟ = ⎜
z ⎠ ⎝ 49 w 1 ⎟⎠
6) Matrix B is the result when Matrix A is multiplied by a scalar. What
should be the value of “y” in matrix B?
⎛ 21 −7 ⎞
A = ⎜
⎟
35
63
⎝
⎠
⎛ 6 −2 ⎞
B = ⎜
⎟
10
y
⎝
⎠
7) Matrix B is the result when Matrix A is multiplied by a scalar. What
should be the value of “y” in matrix B?
⎛ 22 −7 ⎞
A = ⎜
⎟
64
86
⎝
⎠
⎛ 11
B = ⎜
⎝ 32
−7
2
⎞
⎟
y ⎠
8) Matrix B is the result when Matrix A is multiplied by a scalar. What
should be the value of “y” in matrix B?
⎛ 18 −6 ⎞
A = ⎜
⎟
33
12
⎝
⎠
⎛ −30 10 ⎞
B = ⎜
⎟
−
55
y
⎝
⎠
9) Matrix B is the result when Matrix A is multiplied by a scalar. What
should be the value of “y” in matrix B?
⎛ 54 −6 ⎞
A = ⎜
⎟
⎝ 30 72 ⎠
⎛ 9 −1⎞
B = ⎜
⎟
⎝ 5 y ⎠
10) Matrix B is the result when Matrix A is multiplied by a scalar. What
should be the value of “y” in matrix B?
⎛ 21 −7 ⎞
A = ⎜
⎟
⎝ 8 35 ⎠
⎛ 63 −21⎞
B = ⎜
⎟
⎝ 24 y ⎠