ahh X1 be a matrix with |A| = 2. Then for the vector of unknowns X = Let A 8 c a 12 and in X3 the vector of constants b which of the folowing is true for the solution of the linear system of equations AX = b? (a) The unique solution is X = 0 (b) The unique solution is X = (c) The system has infinitely many solutions depending on one parameter. (d) The system has infinitely many solutions depending on two parameters. (e) The system is inconsistent.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 3E
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ahh
X1
Let A =
be a matrix with |A| = 2. Then for the vector of unknowns X =
and
%3D
8ca
X2
the vector of constants b =
which of the following is true for the solution of the linear system
of equations AX = b?
(a) The unique solution is X
(b) The unique solution is X =
(c) The system has infinitely many solutions depending on one parameter.
(d) The system has infinitely many solutions depending on two parameters.
(e) The system is inconsistent.
Transcribed Image Text:ahh X1 Let A = be a matrix with |A| = 2. Then for the vector of unknowns X = and %3D 8ca X2 the vector of constants b = which of the following is true for the solution of the linear system of equations AX = b? (a) The unique solution is X (b) The unique solution is X = (c) The system has infinitely many solutions depending on one parameter. (d) The system has infinitely many solutions depending on two parameters. (e) The system is inconsistent.
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