3. (a) Find the determinant of the matrix A below. '1 0 -1 A =0 0 1 10 -1
Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 18CM: Find the determinant of the matrix. [4032013501511103]
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university level algebra
Transcribed Image Text:3. (a) Find the determinant of the matrix A below.
10 -1
A =|0 0
10 -1
![(b) Find the matrix associated to the linear transformation L below, with respect to the stan-
dard basis {e1, €2, es} of R3.
() - )
2x+y
L:
2-y
where r, y, z € R
y+r
(c) Is the linear transformation L in part (b) invertible or not? Explain your answer carefully.
(d) With the basis B for R³ below, find [L]g, the matrix associated to the linear transformation
L from part (b) with respect to B.
-- () () G}
B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6548c067-4eb1-4487-ab59-7ad1aff1391f%2F77e7b9e2-0d22-4433-8712-6ff1315171c7%2Fe7gwvmh_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Find the matrix associated to the linear transformation L below, with respect to the stan-
dard basis {e1, €2, es} of R3.
() - )
2x+y
L:
2-y
where r, y, z € R
y+r
(c) Is the linear transformation L in part (b) invertible or not? Explain your answer carefully.
(d) With the basis B for R³ below, find [L]g, the matrix associated to the linear transformation
L from part (b) with respect to B.
-- () () G}
B =
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