Consider the linear transformation t: R³ R³ represented with respect to the standard bases by this matrix. 1 0 3 1 1 -1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. 2 2 Wht is its orientation? (c) Find the image under t of the vectors in the prior item and find the size of the box that they define.
Consider the linear transformation t: R³ R³ represented with respect to the standard bases by this matrix. 1 0 3 1 1 -1 0 3 (a) Compute the determinant of the matrix. (b) Find the size of the box defined by these vectors. 2 2 Wht is its orientation? (c) Find the image under t of the vectors in the prior item and find the size of the box that they define.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 13E
Question
Can someone help me answer this question with all the steps thank you.
Transcribed Image Text:Consider the linear transformation t: R³ R³ represented with respect to the standard bases
by this matrix.
1
0
3
1
1
-1 0 3
(a) Compute the determinant of the matrix.
(b) Find the size of the box defined by these vectors.
2
2
Wht is its orientation?
(c) Find the image under t of the vectors in the prior item and find the size of the box that
they define.
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