Mathematics 9 (Complete Solutions)

Q2
Find the additive inverse of the following matrices.

A =
 
2 4
-2 1
 
B =
 
1 0 -1
2 -1 3
3 -2 1
 
C =
 
4
-2
 
D =
 
1 0
-3 -2
2 1
 
E =
 
1 0
0 1
 
F =
 
3 1
-1 2
 
Solution:
A =
 
2 4
-2 1
 
- A = -
 
2 4
-2 1
 
- A =
 
-2 -4
2 -1
 
    (Additive inverse of A)


B =
 
1 0 -1
2 -1 3
3 -2 1
 
- B = -
 
1 0 -1
2 -1 3
3 -2 1
 
- B =
 
-1 0 1
-2 1 -3
-3 2 -1
 
    (Additive inverse of B)


C =
 
4
-2
 
- C = -
 
4
-2
 
- C =
 
-4
2
 
    (Additive inverse of C)


D =
 
1 0
-3 -2
2 1
 
- D = -
 
1 0
-3 -2
2 1
 
- D =
 
-1 0
3 2
-2 -1
 
    (Additive inverse of D)


E =
 
1 0
0 1
 
- E = -
 
1 0
0 1
 
- E =
 
-1 0
0 -1
 
    (Additive inverse of E)


F =
 
3 1
-1 2
 
- F = -
 
3 1
-1 2
 
- F =
 
-3 -1
1 -2
 
    (Additive inverse of F)

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