Namespace LogoNamespace0.3L
cs140pythoncs141csswebdevhtmlalgorithmsmathethics

  Guide

Elementary Row Operations: Addition

Thu Jan 12 2023
X=[abcd]Y=[a+λcb+λdcd]X = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \quad Y = \begin{bmatrix} a + \lambda c & b + \lambda d \\ c & d \end{bmatrix}

Y=[1λ01]X    det(Y)=det1λ01det(X)=det(X)Y = \begin{bmatrix} 1 & \lambda \\ 0 & 1 \end{bmatrix} X \implies det(Y) = det \begin{vmatrix} 1 & \lambda \\ 0 & 1 \end{vmatrix} \cdot det(X) = det(X)