1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...

Question

Question

1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x + 2y +4z, 5y - 5z) a.) Find the matrix representing f (5pts) b.) Determine (i) ker(f) (2pts) (ii) Range(f) (2pts) and (i) dim(f) (lpt)

math algebra

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

matoix Rreprsentalion Cl O + 3 2 32千 ) To-Find kernal consider Homog eneous ider Aqumen ed R2-2P -2210 O S from

Add a comment

Answer 2

Similar Homework Help Questions

Use Gaussian Elimination only to solve 3x - 2y + z = 13 -2x + y...

Use Gaussian Elimination only to solve 3x - 2y + z = 13 -2x + y + 4z = 11 x + 4y - 5z = -31
a - e (a) X + y +z = 11 X – Y – 2= -3...

a - e (a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+...

I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+ 2y -4z = 4 3x -3y +2z = -20 x=_______________ y=________________ z=_________________

Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the...

Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the correct answer but my numbers don't work for the last given equation. Thank you!
12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal. 12: Find a basis B for R', such th...

12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal. 12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal.
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z....

Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0

(4, -1,2) 2x + 3y - z = 3 x + y - z = 5...

(4, -1,2) 2x + 3y - z = 3 x + y - z = 5 10x – 2y = 3 SHOP Supa lo color (4, 1) ) boda e 3x - 5y = 7 2x + 2y = 10
b) Verify the Stokes' theorem where F = (2x - y)i + (x +z)j + (3x...

b) Verify the Stokes' theorem where F = (2x - y)i + (x +z)j + (3x – 2y)k and S is the part of z = 5 – x2 - y2 above the plane z = 1. Assume that S is oriented upwards.
Solve 3x + 2y – z = 1 x – 2y + z = 0 2x + y – 3z = -1

Solve 3x + 2y – z = 1x – 2y + z = 02x + y – 3z = -1

Solve the following system of linear equations by using the inverse matrix method X+Y+Z=4 -2X-Y+3Z=1 Y+5Z=9

Solve the following system of linear equations by using the inverse matrix method X+Y+Z=4 -2X-Y+3Z=1 Y+5Z=9

1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...

Homework Answers

Add Answer to:
1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...

Post as a guest

Earn Coins

Use Gaussian Elimination only to solve 3x - 2y + z = 13 -2x + y...

a - e (a) X + y +z = 11 X – Y – 2= -3...

I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+...

Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the...

12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal. 12: Find a basis B for R', such th...

Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z....

(4, -1,2) 2x + 3y - z = 3 x + y - z = 5...

b) Verify the Stokes' theorem where F = (2x - y)i + (x +z)j + (3x...

Solve 3x + 2y – z = 1 x – 2y + z = 0 2x + y – 3z = -1

Solve the following system of linear equations by using the inverse matrix method X+Y+Z=4 -2X-Y+3Z=1 Y+5Z=9

1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...

Homework Answers

Add Answer to: 1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...

Post as a guest

Earn Coins

Add Answer to:
1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x +...