Question

For each matrix A in Exercises 17 through 22, describe the image of the transformation T(x) = Ax geometrically (as a line, plane, etc: in R2 or R3) 17. A = [1 2; 3 4] 18. A = [1 4; 3 12] 19. A = [2; 3; -2; -4; -6; -8] 20. A = [2 1; 3 2; 4 7] 21. A = [3 9; 2 6; 8 24] 22. A = [1 2; 2 1]

Name: for each matrix a in exercises 17 through 22 describe the image of the transformation tx ax geometrically as a line plane etc in r2 or r3 1 2 17 a l3 4 1 4 18 a 13 12 2 3 19 a 2 4 6 8 2 1 20 21398
Uploaded: 2022-09-26T21:29:58-08:00
Duration: 4 min 54 s
Channel: Wei Yang
Description: for each matrix a in exercises 17 through 22 describe the image of the transformation tx ax geometrically as a line plane etc in r2 or r3 1 2 17 a l3 4 1 4 18 a 13 12 2 3 19 a 2 4 6 8 2 1 20 21398

          For each matrix A in Exercises 17 through 22, describe the image of the transformation T(x) = Ax geometrically (as a line, plane, etc: in R2 or R3)

17. A = [1 2; 3 4]
18. A = [1 4; 3 12]
19. A = [2; 3; -2; -4; -6; -8]
20. A = [2 1; 3 2; 4 7]
21. A = [3 9; 2 6; 8 24]
22. A = [1 2; 2 1]

Added by Antonia J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Wei Yang

09/26/2022

Step 1

Step 1:** Calculate the matrix A by performing row operations: \[ \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \] Performing row operations: R2 - 3*R1 -> R2 \[ \begin{bmatrix} 1 & 2 \\ 0 & -2 \end{bmatrix} \] R2 / -2 -> R2 \[ \begin{bmatrix} 1 & 2 \\ 0 & Show more…

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For each matrix A in Exercises 17 through 22, describe the image of the transformation T(x) = Ax geometrically (as a line, plane, etc: in R2 or R3) 17. A = [1 2; 3 4] 18. A = [1 4; 3 12] 19. A = [2; 3; -2; -4; -6; -8] 20. A = [2 1; 3 2; 4 7] 21. A = [3 9; 2 6; 8 24] 22. A = [1 2; 2 1]