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Question
If `[(a, 3),(4, 1)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]`, find the values of a, b and c.
Solution
`[(a, 3),(4, 1)] + [(2, b),(1, -2)] - [(1, 1),(-2, c)] = [(5, 0),(7, 3)]`
`\implies [(a + 2 - 1, 3 + b - 1),(4 + 1 + 2, 2 - 2 - c)] = [(5, 0),(7, 3)]`
`\implies [(a + 1, 2 + b),(7, -1 - c)] = [(5, 0),(7, 3)]`
Comparing the corresponding elements, we get,
a + 1 = 5 `=>` a = 4
2 + b = 0 `=>` b = –2
–1 – c = 3 `=>` c = – 4
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