System Of Equation | California State University, Northridge - Edubirdie

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

335

Pages:

1
Author:

Andrew M.

Application System of equations 1) A general form matrin of a system of linear equations Aved where math of parameters Column vector of endogenus variabels column vector of exogenus variables and constants 2) Solve for x Anm Solution of a General equation System 1) Theorem: Given A (mxn). A has a nout-inverse. then the equation Ax = d har at least one solution for everyday d (mx1) Rick an arbitrary d. Let I be a right-inverse (so AH=1m) Define x tla Thus, As A Hy= Imd=dxia solution 2) Diven A (myn) le A has a left-inverse, then the equation A=d has al most sone solution fur everyday (mxi). That is, & Ar=d has a solution x for a particular d. then x is unique

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