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प्रश्न
If `[(0, "p", 3),(2, "q"^2, -1),("r", 1, 0)]` is skew – symmetric find the values of p, q and r
उत्तर
Let A = `[(0, "p", 3),(2, "q"^2, -1),("r", 1, 0)]`
AT = `[(0, 2, "r"),("p", "q"^2, 1),(3, -1, 0)]`
A is skew-symmetric if A = – AT
`[(0, "p", 3),(2, "q"^2, -1),("r", 1, 0)] = - [(0, 2, "r"),("p", "q"^2, 1),(3, -1, 0)]`
`[(0, "p", 3),(2, "q"^2, -1),("r", 1, 0)] = [(0, -2, -"r"),(-"p", -"q"^2, -1),(-3, 1, 0)]`
Equating the corresponding entries.
p = – 2, r = – 3
q2 = – q2
⇒ q2 + q2 = 0
⇒ 2q2 = 0
⇒ q = 0
∴ The required values are
p = – 2, q = 0, r = – 3
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