Crossword

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.

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