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Gaurav Seth 5 years, 2 months ago
How do you find inverse using elementary transformation?
But we can only do these "Elementary Row Operations":
- swap rows.
- multiply or divide each element in a a row by a constant.
- replace a row by adding or subtracting a multiple of another row to it.
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Gaurav Seth 5 years, 2 months ago
Answer : π/3
We know that angle between two lines is
l +m +n= 0
⇒ l = - (m+n)
⇒ (m+n)2 = l2
⇒ m2 +n2 +2mn = m2 +n2
[∵ l2 = m2 +n2, given]
⇒ 2mn = 0
when m = 0 ⇒ l =-n
Hence, (l, m, n) is (1,0-1)
When n =0, then l =-m
Hence, (l,m,n) is (1,0-1)
We know that angle between two lines is
l +m +n= 0
⇒ l = - (m+n)
⇒ (m+n)2 = l2
⇒ m2 +n2 +2mn = m2 +n2
[∵ l2 = m2 +n2, given]
⇒ 2mn = 0
when m = 0 ⇒ l =-n
Hence, (l, m, n) is (1,0-1)
When n =0, then l =-m
Hence, (l,m,n) is (1,0-1)
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Yogita Ingle 5 years, 2 months ago
volume of cube is increasing at the rate of 8cm³/s. e.g.,
edge length , a = 12cm
we know volume of cube , V = a³
now differentiate with respect to time,
put a = 12cm and dV/dt = 8cm³/s
now, 8 = 3(12)² da/dt
8 = 3 × 144 × da/dt
=> da/dt = 1/54 cm/s -----(1)
we also know surface area of cube , A = 6a²
differentiate A with respect to time,
dA/dt = 12a da/dt
put a = 12cm and from equation (1),
so, dA/dt = 12 × 12 × 1/54 = 144/54 = 8/3
hence, rate of change of surface area of cube is
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