Determine if the matrix -5-5 -5 1 is symmetric. Select the correct choice below and, if necessary, fill in the answer box within your choice. (Simplify your answer.) OA. The matrix is not symmetric because it is not equal to its inverse, which is OB. The matrix is symmetric because it is equal to its inverse, which is OC. The matrix is symmetric because it is equal to its transpose, which is OD. The matrix is symmetric because it is equal to the negative of its transpose, which is O E. The matrix is not symmetric because it is not equal to the negative of its transpose, which is O F. The matrix is not symmetric because it is not equal to its transpose, which is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 90E
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Determine if the matrix
-5 -5
-5 1
is symmetric.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
(Simplify your answer.)
O A. The matrix is not symmetric because it is not equal to its inverse, which is
O B. The matrix is symmetric because it is equal to its inverse, which is
OC. The matrix is symmetric because it is equal to its transpose, which is
OD. The matrix is symmetric because it is equal to the negative of its transpose, which is
O E. The matrix is not symmetric because it is not equal to the negative of its transpose, which is
OF. The matrix is not symmetric because it is not equal to its transpose, which is
Transcribed Image Text:Determine if the matrix -5 -5 -5 1 is symmetric. Select the correct choice below and, if necessary, fill in the answer box within your choice. (Simplify your answer.) O A. The matrix is not symmetric because it is not equal to its inverse, which is O B. The matrix is symmetric because it is equal to its inverse, which is OC. The matrix is symmetric because it is equal to its transpose, which is OD. The matrix is symmetric because it is equal to the negative of its transpose, which is O E. The matrix is not symmetric because it is not equal to the negative of its transpose, which is OF. The matrix is not symmetric because it is not equal to its transpose, which is
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