Across
- 4. Matrix derived from the coefficients and constant terms of a system
- 7. A scalar value calculated from the elements of a square matrix, often used in various matrix operations.
- 9. fundamental in solving linear algebra problems and play a key role in various mathematical applications.
- 10. a rectangular array of numbers, symbols, or expressions arranged in rows and columns.
- 11. two matrices that have the same size
- 12. The maximum number of linearly independent rows or columns in a matrix, indicating its dimensionality.
Down
- 1. Swapping rows and columns in a matrix.
- 2. A method for solving systems of linear equations by transforming the augmented matrix to its row-echelon form.
- 3. the third row of matrix consists of all zeroes expect for the last entry
- 5. A value associated with a specific element in a matrix, used in calculating the determinant and matrix
- 6. A matrix that, when multiplied with the original matrix, gives the identity matrix. It is denoted as .
- 8. Two systems of linear equations that they have precisely the same solution set