Book .4
6 important questions on Book .4
What is the limit of a function?
- The limit of a function is an output the function can never provide because the function is undefined for the x that is supposed to provide that output.
- instead, we say that the limit of the function is the unreachable output as x approaches the value that would've given this output.
- in the example in the picture, x cannot be 1 since that would cause the function to become 0/0, our function is thus not defined for x = 1
- instead we can say that as x approaches 1, e.g. .99999, the function has a value which is the limit.
How can you add vectors and multiply vectors by scalars?
- Adding vectors is done pairwise, the vectors need to be the same length
- (1, 2, 3) + (4, 5, 6) = (1 + 4, 2 + 5, 3 + 6) = (5, 7, 9)
- multiplying by a scalar is just mutliplying each component by the scalar
- 3 · (1, 4, 6) = (3, 12, 18)
How can the length of a vector be calculated?
- The L2 norm or euclidian norm is the length of the vector
- it is the euclidian distance from the origin
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How can you normalize a vector?
When are two vectors orthonormal?
What is a symmetric matrix?
The question on the page originate from the summary of the following study material:
- A unique study and practice tool
- Never study anything twice again
- Get the grades you hope for
- 100% sure, 100% understanding
