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marissastewart533
28.02.2020 •
Mathematics
Consider the stacked vectors ai ak bi where a... ak are n-vectors and b counter example. bz are m-vectors. For each case, either prove or provide a (a) Suppose ai ak are linearly independent (we make no assumptions about bi bi). Can we conclude that the stacked vectors c . c are linearly indepndent? (b) Suppose a ak are linearly dependent (we make no assumptions about bi bi). Can we conclude that the stacked vectors c..ck are linearly depndent?
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Ответ:
(a) Yes,we can conclude that the vectors C₁,...,C₀ are linearly independent.
(b) No,the vectors C₁,...,C₀ can also be linearly independent. For example, take.
Step-by-step explanation:
Note that I'm using "o" instead of "k" for easier computation ∴ C₀ = Ck
Proof by letting ∝₁,...,∝₀ be scalars such that ∝₁c₁+...+∝₀c₀ = 0 are linearly independent. see equation in picture.
See attached
Ответ:
Hey there!
So in this problem we are given angle x and length y. Thus, we can have Cosine x= y/h, with h being the hypotenuse.
This gives us that h=y/Cosine x.
Hope this helps :)