1. (3 points) Express the following vector equation as a system of linear equations. 4 X1...
1. (3 points) Express the following vector equation as a system of linear equations. 4 X1 + X2 = = [ 3 5 (Keep the equations in order.) -Xi+ X2 = _ x1 + X2 = Answer(s) submitted: (incorrect) 2. (1 point) Determine which of the points (1, -2, -2), (-7,3,3), and (6,1,-5) lie in the plane x1 - 4x2 +6x3 = -1. Answer: Answer(s) submitted: (incorrect)
4. (1 point) If Aū= 4 3 2 and Av= -3 -2 then A(3ū+ 2v) = Answer(s) submitted: (incorrect) 1. (3 points) Express the following vector equation as a system of linear equations. 4 X1 + X2 = = [ 3 5 (Keep the equations in order.) -Xi+ X2 = _ x1 + X2 = Answer(s) submitted: (incorrect) 2. (1 point) Determine which of the points (1, -2, -2), (-7,3,3), and (6,1,-5) lie in the plane x1 - 4x2 +6x3...
4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 - 10x3 = X1 - 2x2 + 3x3 = -1 7X1 - 17x2 + 34x3 = -16 X1 + X2 + X3
1. (20 points total) We will solve the following system of linear equations and express the problem and solution in various forms. 2x1 + 4x2 + x4 – 25 = 1 2.22 - 3.23 – 24 +2.25 = 1. (a) (2 point) How many free parameters are required to describe the solution set? (b) (5 points) Write the problem in the form of an augmented matrix and use Gauss-Jordan elimination to find the reduced echelon form of the matrix. (c)...
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...
70. In each part, find matrices A, x, and b that express the given system of linear equations as a single matrix equation Ax = b, and write out this matrix equation. (a) 2x1- x2+3x3= xi + 3x2 X2-X3= 1 -X1 (b) 4x1 + 4x2 + 4x3 = 4 4x2-2x3 =-2
1 points LarLinAlg8 1.R.048. solve the homogeneous system of linear equations. (If there parameter t.) 2x1 + 4x2 11x30 x1 3x2 + 17x3 0 (x1, X2, x3) - 1 points LarLinAlg8 1.R.048. solve the homogeneous system of linear equations. (If there parameter t.) 2x1 + 4x2 11x30 x1 3x2 + 17x3 0 (x1, X2, x3) -
3. Two solutions of the following linear equation system are x1, X2, where Xi = (1,1,-3,1), x2-x1 + xd xd that makes cTx2 - cTx1 - 1, where c [1 1 2 1] Find every Ax=11 2 2 3 |x=b 3. Two solutions of the following linear equation system are x1, X2, where Xi = (1,1,-3,1), x2-x1 + xd xd that makes cTx2 - cTx1 - 1, where c [1 1 2 1] Find every Ax=11 2 2 3 |x=b
1. CP1 (20 pts) Consider the system of linear equations X1 + x2 + x3 = 1 X1 - x2 + x3 = 3 - X1 + x2 + x3 = -1 a) (3 pts) Provide the Augmented matrix A for this system. b) (9 pts) Find the Row-Echelon Form (AREF) of the Augmented matrix. c) (2 pts) How many solutions does the system have? d) (6 pts) Based on the steps in part b), express Aref as a product...
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...