Question

If `[(a, 3),(4, 2)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]` Find the value of a,b and c

Answer 1

`[(a, 3),(4, 2)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]`

⇒ `[(a + 2 - 1, 3 + b - 1),(4 + 1 + 2, 2 - 2 - c)] = [(5, 0),(7, 3)]`

⇒ `[(a + 1, b + 2),(7, -c)] = [(5, 0),(7, 3)]`
Comparing the corresponding elements :
a + 1 = 5
⇒ a – 4
b + 2 = 0
⇒ b = –2
–c = 3
⇒ c = –3.