Answer:
a = [1 3 5 7 9] and b = [12 9 6 3 1]
Explanation:
The addition of two vectors a and b is defined as
a + b = [13 12 11 10 10] .... (1)
The subtraction of two vectors a and b is defined as
a - b = [-11 - 6 - 1 4 8] .... (2)
After adding (1) and (2), we get
(a + b) + (a - b)= [13 12 11 10 10] + [-11 - 6 - 1 4 8]
On simplification we get
2a = [13-11 12-6 11-1 10+4 10+8]
2a = [2 6 10 14 18]
Divide both sides by 2.
a = [1 3 5 7 9]
Substitute the value of vector a in equation (1).
[1 3 5 7 9] + b = [13 12 11 10 10]
Subtract vector a from both sides.
b = [13 12 11 10 10] - [1 3 5 7 9]
On simplification we get
b = [13-1 12-3 11-5 10-7 10-9]
b = [12 9 6 3 1]
Therefore the vectors a and b are defined as a = [1 3 5 7 9] and b = [12 9 6 3 1].