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Verified answer
A×X = B2 2 a b 2a + 2c 2b + 2d
3 4 × c d = 3a + 4c 3a + 4d
2a + 2c = 8 (dikali 2)
3a + 4c = 15
4a + 4c = 16
3a + 4c = 15
__________ -
⇒⇒ a = 1
⇒2a + 2c = 8
2(1) + 2c = 8
2c = 6
⇒⇒c = 3
2b + 2d = 12 (dikali 2)
3b + 4d = 22
4b + 4d = 24
3b + 4d = 22
____________-
b = 2
⇒2b + 2d = 12
2(2) + 2d = 12
4 + 2d = 12
2d = 8
d = 4
jawabannya= E
a b ⇒⇒ 1 2
c d 3 4
X = A⁻¹ B
16.
g = b-a
h = d-c
g (1, -4, 1)
h (1 ,-4, -1)
g.h = 1 +16 -1 = 16
|g| = √(1+16+1) = √18
|h| = √(1+16+1) = √18
cos α = ( g . h)/ |g||h|
cos α = 16/ 18= 8/9
sin α = √(1 - cos² α) = √( 1- 64/81) = √(17/81)
sin α = (√17 ) / 9