I need help with this and it has to be in Matlab! I need this as a Matlab file! Yes MATLAB!
Note: Late submission will not be accepted. All the questions must be done using Matlab. Please, submit your .m file electronically. Do not forget to put your comments in your .m file using % sign. 1. (8 pts) Solve the system using rref and write the solutions using a parametric vector form. 6x2 + 2x4 - 4xz - 8x8 = 8 3x3 + x4 - 2x - 4x = 4 2x 3x2 + x3 + 4x4 - 7x3 + x6 = 2 6x; -9x2 +11x4 - 19x3 + 3x6 = 1 2. (8 pts) Solve the homogeneous system and write the solutions using a parametric vector form. 3x, + x2 + x3 + x2 = 0 (5x; x2 + x3 X4 = 0 3. Determine if the following sets of vectors will span R? Explain why or why not. (a) (3 pts) v1 = (2,0,1), v2 =(-1, 3, 4), and V3 = (1, 1, -2). (b) (3 pts) vi = (1, 2,-1), v2 = (3,-1, 1), and v3 = (-3, 8,-5). 4. Determine if the following sets of vectors are linearly independent or linearly dependent, and explain why. (a) (3 pts) vi = (-2, 1), v2 = (-1, -3), and V3 = (4, -2). (b) (3 pts) vi = (1, 1,-1, 2), v2 = (2, -2, 0, 2), and V3 = (2,-8, 3, -1). 4 -2 5 -5 0 7 -8 5 5. (8 pts) A= -9 -6 b= 5 3 9 4 -3 5 8 -4 7 Is b in the range of the transformation xH Ax? If so, find an x whose image under the transformation is b. 6. (8 pts) Solve the system using method of matrix inversion. 6.x+ 2x2 - 4x4 + x3 = 6 3x, + x2 2xz - 4x3 = 8 {-x, + 3x2 + x4 + 5x3 = 1 2x - 3x2 + x2 + 4x4 x3 = 0 (x2 + x3 - 2x2 + 3x3 = 2 7. (6 pts) Define 4 by 4 P matrix using pascal and compute P2 and P.2. What is the difference between these two matrices? Note: Late submission will not be accepted. All the questions must be done using Matlab. Please, submit your .m file electronically. Do not forget to put your comments in your .m file using % sign. 1. (8 pts) Solve the system using rref and write the solutions using a parametric vector form. 6x2 + 2x4 - 4xz - 8x8 = 8 3x3 + x4 - 2x - 4x = 4 2x 3x2 + x3 + 4x4 - 7x3 + x6 = 2 6x; -9x2 +11x4 - 19x3 + 3x6 = 1 2. (8 pts) Solve the homogeneous system and write the solutions using a parametric vector form. 3x, + x2 + x3 + x2 = 0 (5x; x2 + x3 X4 = 0 3. Determine if the following sets of vectors will span R? Explain why or why not. (a) (3 pts) v1 = (2,0,1), v2 =(-1, 3, 4), and V3 = (1, 1, -2). (b) (3 pts) vi = (1, 2,-1), v2 = (3,-1, 1), and v3 = (-3, 8,-5). 4. Determine if the following sets of vectors are linearly independent or linearly dependent, and explain why. (a) (3 pts) vi = (-2, 1), v2 = (-1, -3), and V3 = (4, -2). (b) (3 pts) vi = (1, 1,-1, 2), v2 = (2, -2, 0, 2), and V3 = (2,-8, 3, -1). 4 -2 5 -5 0 7 -8 5 5. (8 pts) A= -9 -6 b= 5 3 9 4 -3 5 8 -4 7 Is b in the range of the transformation xH Ax? If so, find an x whose image under the transformation is b. 6. (8 pts) Solve the system using method of matrix inversion. 6.x+ 2x2 - 4x4 + x3 = 6 3x, + x2 2xz - 4x3 = 8 {-x, + 3x2 + x4 + 5x3 = 1 2x - 3x2 + x2 + 4x4 x3 = 0 (x2 + x3 - 2x2 + 3x3 = 2 7. (6 pts) Define 4 by 4 P matrix using pascal and compute P2 and P.2. What is the difference between these two matrices
