3. Determine whether the following system of linear equations is consistent, and, if it is, find...

Question

Question

Answer 1

Answer #1

324 + 4%, - X4 = -5 -72-6X2 + 13X4 - - 4 2x3 + x4 = 3. ® This syslem can be written as Lo 0 system 2 is 1 1 2 consistent This

Answer 2

Similar Homework Help Questions

2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficie...

2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients. 2. Consider the following system of linear equations 23 1 Determine whether this system is consistent, and if it is, find the full set of solutions. Also, find the rank of the matrix of coefficients.
1 Find the value of h for which the following linear system is consistent and find...

1 Find the value of h for which the following linear system is consistent and find the general solution in vector form of the resulting consistent linear system. x1+ x2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10 numbers next to x’s are base numbers
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 -...

Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...

The augmented matrix is given for a system of equations. If the system is consistent find...

The augmented matrix is given for a system of equations. If the system is consistent find the general solution. Otherwise state that there is no solution. 1062 01- 29 0 0 0 0 X12 - 6x3 02-9 + 2x3 *3 is free X1 - 2 - 6x3 x2 is free *3- ŹŹ x2 No solution *1 = 2 - 6x3 0x292x3 X30
1- Solve the system of two linear equations and determine if the system is consistent or...

1- Solve the system of two linear equations and determine if the system is consistent or inconsistent (2x + y = 11 3x - y = 9 (x + y = 5 (x - y = 1
is this consistent or inconsistent? if it is consistent, state wether the equations are dependent or...

is this consistent or inconsistent? if it is consistent, state wether the equations are dependent or independent. Graph the following system of equations and find any solutions. Check the answers. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent X - 3y - 18 - 3x + y = 6 Click to enlarge graph What is the solution to the system? Select the correct choice below and, if necessary...

1. Find if the following systems of linear equations is inconsistent or consistent. If it is...

1. Find if the following systems of linear equations is inconsistent or consistent. If it is consistent, find the parametric solution. (a) 6 8 1 12 2 -1 -1 1/2 3/2 2 (b) -21 0 5 0 2 2 0 1/3 1/3 4 2 7 1 c) 1 3 -1 0 0 2 0 9 -30 -116 0 1 1 -4 1 -1 2. Find the inverse of matrices using Gauss-Jordan technique if it exists. (a) 1 -1 1 0...
1 (8+7 15 pts) Linear equations Consider the system of equations 1 -1 0 0 0...

1 (8+7 15 pts) Linear equations Consider the system of equations 1 -1 0 0 0 0 1 2-1 03 - 0 0 1 2 3 4 4 (a) Determine all values of a and b such that this system is 1 inconsistent (ii) consistent (b) Find the set of solutions for 1 a b 2.
(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) o...

(c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system is is a scalar. (i) consistent with infinitely many solutions; (ii) consistent with one and only one solution; and (ii) inconsistent. 20 marks Solve the system when it is consistent. (c) Consider the system of linear equations 3 1 4a -1x2, where a 2 a a+1 Determine the value(s) of a such that the system...

Linear Algebra 1) For each of the following linear systems of equations I. 2x, x 3...

Linear Algebra 1) For each of the following linear systems of equations I. 2x, x 3 x,-4x2 = 4 3x, +2x-5 2x, + 3x2-6x3 x 3x2 + 2x 2 -x,-4x2 + 6x3 =-1 III. 5x1 + 7x2=-5 8x1-5x2 = 3 IV, 2 a. Identify corresponding linear algebra nomenclature (4x -b) b. Calculate the inverse of the coefficient matrix (4) for each system Calculate each by hand and check your results with an alternate hand calculation or alternatively through an suitable...