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प्रश्न
If A = `[(2, a),(-3, 5)] and "B" = [(-2, 3),(7, b)], "C" = [(c, 9),(-1, -11)]` and 5A + 2B = C, find the values of a,b,c
उत्तर
A = `[(2, a),(-3, 5)] and "B" = [(-2, 3),(7, b)], "C" = [(c, 9),(-1, -11)]` and 5A + 2B = C
⇒ `5[(2, a),(-3, 5)] + 2[(-2, 3),(7, b)] = [(c, 9),(-1, -11)]`
⇒ `[(10, 5a),(-15, 25)] + [(-4, 6),(14, 2b)] = [(c, 9),(-1, -11)]`
⇒ `[(10 - 4, 5a + 6),(15 + 14, 25 + 2b)] = [(c, 9),(-1, -11)]`
⇒ `[(6, 5a + 6),(-1, 25 + 2b)] = [(c, 9),(-1, -11)]`
Comparing each term
5a + 6 = 9
⇒ 5a = 9 – 6 = 3
⇒ a = `(3)/(5)`
⇒ 25 + 2b = –11
⇒ 2b = –11 – 25 = –36
⇒ b = `-(36)/(2)` = –18
c = 6
Hence a = `(3)/(5)`, b = –18 and c = 6.
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