Example from slides 3×3 Example
Python Reduced Row Echelon Form
From REF to RREF
Python Augmented Matrix
Example 1 Example 2 row operations Multiply the first row by 3 add: 2nd row to the first subtract 2nd row from the 3rd
Inverse Matrix
2×2 example 3×3 example properties A^-1 * A = A * A^-1 = I (AB)^−1=B^−1A^−1 (A^T)^−1=(A^−1)^T (kA)^−1=(1/k)(A^−1) (A^−1)^−1=A
Python Identity Matrix
Example 1 Create a 3×3 identity matrix also can use np.eye Example 2 Matrix Multiplication Example 3 Determinant of the Identity Matrix Example 4 Identity Matrix is Its Own Inverse Example 5 Eigenvalues of the Identity Matrix
Python Determinant of a Matrix
2×2 Example 3×3 Example singular matrix identity matrix The determinant of a product of matrices satisfies det(AB)=det(A)⋅det(B) Swapping two rows (or columns) of a matrix multiplies the determinant by − 1 Eigenvalues of A and their product Scale A by a scalar k and compute determinant the shape attribute of a numpy array provides the […]