What is a coefficient matrix?
The matrix with the coefficients aligned in columns.
A coefficient matrix is a square or rectangular matrix that shows the coefficients of a system of linear equations. In other words, it is a matrix that represents the system of linear equations in a compact form. To find the solution of a system of linear equations, you need to solve for the unknown variables. The coefficient matrix is used to solve for the unknown variables through various methods, such as Gaussian elimination, LU factorization, and inverse matrices. The determinant of the coefficient matrix is also used to check the consistency and uniqueness of the solutions. Additionally, the coefficient matrix is frequently used in matrix algebra and other areas of mathematics and engineering.
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