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Given the matrices


A and

B shown below, find

2



.
−2B−A.

=
[
4
5
4
2
6
4
]





=
[
1

6

7
4
10

2
]
A=[
4
2


5
6


4
4

]B=[
1
4


−6
10


−7
−2

]

User Yan Brunet
by
9.0k points

1 Answer

0 votes

Answer:

To find -2B - A, we need to first find the product of 2 and matrix B, and then subtract matrix A from the result.

We can start by finding the product of 2 and matrix B:

2B = 2 *

[

1

4

−6

10

−7

−2

] =

[

2

8

−12

20

−14

−4

]

Next, we can subtract matrix A from 2B:

-2B - A =

[

2

8

−12

20

−14

−4

] -

[

4

2

5

6

4

4

] =

[

-2

6

-17

14

-18

-8

]

Therefore,

−2

.

−2B−A

=

[

-2

6

-17

14

-18

-8

].

Explanation:

User Heikki Naski
by
8.1k points