Which fraction is the largest 10/13, 11/14, 14/15 or 17/18
1 answer:
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Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If are eigenvectors of an nxn matrix A and the associated eigenvalues
are distinct, then
are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say
From definition of eigenvector for each one needs to have associated an eigenvector
for
And using the theorem from before , the n eigenvectors are linearly independent since the
are distinct so then we ensure that A is diagonalizable.
x = 80
the sum of the angles round a point is 360°
the 3 angles here must sum to 360°
3x + x - 27 + 67 = 360
4x + 40 = 360
subtract 40 from both sides.
4x = 360 - 40 = 320
divide both sides by 4
x = = 80
thus the 3 angles are 67°, 240° and 53°