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Which of the following is false? OA. Let A be a matrix corresponding to projection onto a line in R². Then A is invertible. OB. Let A be a matrix corresponding to rotation in R² by 35 degrees. Then A is invertible and A has complex eigenvalues. OC. Let A be a matrix corresponding to reflection across a line in R². Then det(A) = –1. OD. Let A be a matrix corresponding to a shear in R². Then A is not diagonalizable. OE. Let A = Id2. Then the geometric multiplicity of 1 is 2.

Which of the following is false? OA. Let A be a matrix corresponding to projection onto a line in R². Then A is invertible. OB. Let A be a matrix corresponding to rotation in R² by 35 degrees. Then A is invertible and A has complex eigenvalues. OC. Let A be a matrix corresponding to reflection across a line in R². Then det(A) = –1. OD. Let A be a matrix corresponding to a shear in R². Then A is not diagonalizable. OE. Let A = Id2. Then the geometric multiplicity of 1 is 2.

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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Which of the following is false? O A. Let A be a matrix corresponding to projection onto a line in R². Then A is invertible. о в. MLet A be a matrix corresponding to rotation in R? by 35 degrees. Then A is invertible and A has complex eigenvalues. Oc. Let A be a matrix corresponding to reflection across a line in R². Then det(A) = -1. OD. Let A be a matrix corresponding to a shear in R?. Then A is not diagonalizable. OE. Let A = Id2. Then the geometric multiplicity of 1 is 2.
Transcribed Image Text:Which of the following is false? O A. Let A be a matrix corresponding to projection onto a line in R². Then A is invertible. о в. MLet A be a matrix corresponding to rotation in R? by 35 degrees. Then A is invertible and A has complex eigenvalues. Oc. Let A be a matrix corresponding to reflection across a line in R². Then det(A) = -1. OD. Let A be a matrix corresponding to a shear in R?. Then A is not diagonalizable. OE. Let A = Id2. Then the geometric multiplicity of 1 is 2.
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