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1 11 1.1 Determine the non-trivial eigenspaces of the matrix A = 0 1 0|, by writing 0 1 2 each as E = span{...} (i.e. as the span of some vector(s)).' Then describe the eigenspaces you found geometrically as subspaces of R3. Note: it may help to review the final slide from the In-Class Activities for Week 9 for this last part. 1.2 Suppose that 0 € R is an angle in [0, 27t). Describe the possible eigenspaces of Rg, the matrix for rotation in R2 counterclockwise by 0. If the eigenspaces vary as 0 changes, explain.

1 11 1.1 Determine the non-trivial eigenspaces of the matrix A = 0 1 0|, by writing 0 1 2 each as E = span{...} (i.e. as the span of some vector(s)).' Then describe the eigenspaces you found geometrically as subspaces of R3. Note: it may help to review the final slide from the In-Class Activities for Week 9 for this last part. 1.2 Suppose that 0 € R is an angle in [0, 27t). Describe the possible eigenspaces of Rg, the matrix for rotation in R2 counterclockwise by 0. If the eigenspaces vary as 0 changes, explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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[1 1 1 0 1 0,by writing 1.1 Determine the non-trivial eigenspaces of the matrix A = 0 1 2 each as E = span{...} (i.e. as the span of some vector(s)).' Then describe the eigenspaces you found geometrically as subspaces of R3. Note: it may help to review the final slide from the In-Class Activities for Week 9 for this last part. 1.2 Suppose that 0 € R is an angle in [0, 27t). Describe the possible eigenspaces of Rq, the matrix for rotation in R² counterclockwise by 0. If the eigenspaces vary as 0 changes, explain.
Transcribed Image Text:[1 1 1 0 1 0,by writing 1.1 Determine the non-trivial eigenspaces of the matrix A = 0 1 2 each as E = span{...} (i.e. as the span of some vector(s)).' Then describe the eigenspaces you found geometrically as subspaces of R3. Note: it may help to review the final slide from the In-Class Activities for Week 9 for this last part. 1.2 Suppose that 0 € R is an angle in [0, 27t). Describe the possible eigenspaces of Rq, the matrix for rotation in R² counterclockwise by 0. If the eigenspaces vary as 0 changes, explain.
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