ECON 211 Study Guide - Final Guide: Elementary Matrix, Diagonal Matrix, Triangular Matrix
Document Summary
Product rule (f (x)g(x)) = f (x)g(x) + f (x)g (x) Inverse of matrix a is matrix a-1 such a-1a=aa-1=i, a matrix is only invertible if it is nonsingular. To solve a matrix, we need to use the inverse of a matrix - write the system in the matrix format or ax = b the solution would be x = a-1b. Quotient rule f (x) g(x) f (x)g(x) f (x)g (x) g(x)2. Chain rule dy dz df dx dx dz r n. Annual interest (deposit a, interest r, n times a year for t years) Gauss-jordanian elimination a11x1 + a12x2 + a13x3 = b1 a21x1 + a2x2 + a23x3 = b2 a31x1 + a32x2 + a33x3 = b3. Systems with many solutions (1) (2) (# of equations) < (# of variables) or (# of equations) = (# of variables) but some are linearly dependent a11 a12 a13 a21 a22 a23 a31 a32 a33 b1 b2 b3.
