Elijah's Linear Algebra Crossword
Across
- 4. The ____of a matrix A is denoted det(A)
- 5. The ___ of a matrix is found by interchanging its rows into columns or columns into rows.
- 7. A real number is the ___ product of the lengths of two vectors and the cosine of the angle between them.
- 9. The complex ___ of a matrix interchanges the row and column index for each element, reflecting the elements across the main diagonal.
- 10. The ___ is the maximum number of its linearly independent column vectors (or row vectors).
Down
- 1. A matrix is always inside square ___.
- 2. The ___ of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity.
- 3. The ___ product of two real vectors in three dimensions is itself a vector at right angles to both the original vectors.
- 6. A square matrix having the property that each pair of elements in the ith row and jth column and in the jth row and ith column are conjugate complex numbers.
- 8. The ___ of a matrix is the number of rows by the number of columns. If a matrix has rows and b columns, it is an a×b matrix.