
1. General Vector Spaces 1.1. Vector space axioms. Definition 1.1
... Definition 3.12. If A and C are square matrices with the same size, we say that C is similar to A if there is an invertible matrix P such that C = P −1 AP . Definition 3.13. Properties of similar matrices. (1) Two square matrices are similar if and only if there exist bases with respect to which the ...
... Definition 3.12. If A and C are square matrices with the same size, we say that C is similar to A if there is an invertible matrix P such that C = P −1 AP . Definition 3.13. Properties of similar matrices. (1) Two square matrices are similar if and only if there exist bases with respect to which the ...
Exercise 1 Exercise 2 Exercise 3 Exercise 4
... 1. Create a matrix of 25 columns and 50 rows from the vector of natural numbers, whose values start at 1. Save the matrix as m. 2. If one of the matrix values is equal to one of the first 5 elements of the Fibonacci sequence (1,2,3,5,8), assign a NA value to this elements of the matrix. 3. If any of ...
... 1. Create a matrix of 25 columns and 50 rows from the vector of natural numbers, whose values start at 1. Save the matrix as m. 2. If one of the matrix values is equal to one of the first 5 elements of the Fibonacci sequence (1,2,3,5,8), assign a NA value to this elements of the matrix. 3. If any of ...