Chapter 1 - Vectors Flashcards
An ordered finite list of numbers
Vector
Values in the array
Elements (components, coefficients, components)
Number of values in array
Size (dimension, length)
Vector of size n
n-vector
When does vector a equal vector b?
If they have the same size and same corresponding values.
Numbers or values of the elements in a vector
Scalar
Vectors whose elements are real numbers
Real vectors
How is the set of all real n-vectors denoted?
R to the power of n
Two or more vectors concatenated or stacked is known as a
Stacked vector
What is the size of the vector a (subscript r:s)?
s - r + 1
A vector with all elements equal to 0
Zero vector
What is a case of overloading?
When the symbol 0 is used to represent zero vectors of different sizes (they are all different vectors
Vector with all elements equal to zero except one, which equals one
(Standard) unit vector
How is a n-vector with all elements equal to 1 notated?
1 subscript n, sometimes denoted as just 1if vector size is known
A vector with many elements equal to zero
Sparse