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2. Consider the linear transformation t: R³ → R³ represented with respect to the standard bases by this matrix. 1 -1 3 1 1 –1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. :) O O 2 Wht is its orientation? (c) Find the image undert of the vectors in the prior item and find the size of the box that they define.

2. Consider the linear transformation t: R³ → R³ represented with respect to the standard bases by this matrix. 1 -1 3 1 1 –1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. :) O O 2 Wht is its orientation? (c) Find the image undert of the vectors in the prior item and find the size of the box that they define.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the linear transformation t: R³ → R³ represented with respect to the standard bases by this matrix. 1 -1 3 1 1 –1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. :) O O 2 Wht is its orientation? (c) Find the image undert of the vectors in the prior item and find the size of the box that they define.
Transcribed Image Text:2. Consider the linear transformation t: R³ → R³ represented with respect to the standard bases by this matrix. 1 -1 3 1 1 –1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. :) O O 2 Wht is its orientation? (c) Find the image undert of the vectors in the prior item and find the size of the box that they define.
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