Please answer all parts 1-2Let B =-13be a 3 x 3 matrix.3-21. Let T: R³ → R³ be the linear transformation defined by T(7) = Bĩ.2(a) Compute T(ū) where ū =-1(b) Is T onto R? Justify your answer.(c) Give a nonzero element of Im(T).2. Compute the determinant of B.3. Compute the inverse of B.

Given a linear transformation since you have posted a question with multiple sub-parts, we will…

1 -2 Let B = 0 -1 3 be a 3 x 3 matrix. 3 -2 1. Let T : R → R° be the linear transformation defined by T(F) = Bĩ. (a) Compute T(ū) where ū = (b) Is T onto R³? Justify your answer. (c) Give a nonzero element of Im(T). 2.

1 -2 Let B = 0 -1 3 be a 3 x 3 matrix. 3 -2 1. Let T : R → R° be the linear transformation defined by T(F) = Bĩ. (a) Compute T(ū) where ū = (b) Is T onto R³? Justify your answer. (c) Give a nonzero element of Im(T). 2.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 16CM

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Question

Please answer all parts

1
-2
Let B =
-1
3
be a 3 x 3 matrix.
3
-2
1. Let T: R³ → R³ be the linear transformation defined by T(7) = Bĩ.
2
(a) Compute T(ū) where ū =
-1
(b) Is T onto R? Justify your answer.
(c) Give a nonzero element of Im(T).
2. Compute the determinant of B.
3. Compute the inverse of B.

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