Midterm Crossword

7. Matrix B is called the _____ of Matrix A if the rows of matrix A are written as the columns of matrix B & vice versa
11. number of elements in a set
13. there are 4 _____ subspaces
14. subsidiary of the intermediate theorem in an argument for proof
15. _____ matrices are square matrices that can be obtained by a single elementary row operation by the identity matrix
17. 2 vectors are _____ if they are perpendicular to each other
19. The _____ of the set S is the smallest subspace of V that contains S (when S is a subset of vector space V).
20. _____ notation is when the elements are listed in curly braces in which each element is separate from the next using commas
21. the maximal number of linearly independent column vectors in a matrix
22. a _____ matrix is not diagonalizable and doesn't have full rank

1. eigenvalues are denoted by the Greek letter _____
2. a set of vectors is _____ if every vector has a magnitude of 1 and the set of vectors are mutually orthogonal
3. also known as leading variables or basic variables
4. a set of vectors is _____ orthogonal if every pair of vectors is orthogonal
5. a _____ vector is a vector of length 1
6. the singular values of a matrix are denoted by the Greek letter _____
8. a _____ has the same number of columns and rows
9. the _____ of a matrix is the set of all linear combinations of the columns of A (no spaces)
10. if a matrix A is equal to its transpose, then the matrix is _____
12. the _____ values of a matrix are calculated by taking the square root of eigenvalues
16. the _____ of a matrix is the set of all linear combinations of the row vectors of A (no spaces)
18. the _____ of a square matrix is the sum of the entries on the main diagonal