Module 4: Solving Systems of Linear Equations

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5 Terms

1
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x= A \ B

Solves the system Ax = B using left division (the recommended method).

2
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x = inv(A) * B

Solves the system Ax = B using the matrix inverse (slower and less stable).

3
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Aug = [A B]

Creates an augmented matrix [A|B] for row reduction.

4
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rref(M)

Computes the Reduced Row Echelon Form of matrix M.

5
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[L, U, P] = lu(A)

Performs LU decomposition, returning Lower triangular (L), Upper triangular (U), and Permutation (P) matrices.