Which of the followings is false? O A) A row echelon form of a matrix is not unique O B) Every matrix is row equivalent to the unique matrix in reduced row echelon form. O C) Every matrix is row equivalent to a matrix in row echelon form. O D) A reduced row echelon form of a matrix is not unique O E) If a square matrix is singular, then the determinant of its is 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the followings is false?
O A) A row echelon form of a matrix is not unique
O B) Every matrix is row equivalent to the unique matrix in reduced row echelon form.
C) Every matrix is row equivalent to a matrix in row echelon form.
O D) A reduced row echelon form of a matrix is not unique
E) If a square matrix is singular, then the determinant of its is 0
Transcribed Image Text:Which of the followings is false? O A) A row echelon form of a matrix is not unique O B) Every matrix is row equivalent to the unique matrix in reduced row echelon form. C) Every matrix is row equivalent to a matrix in row echelon form. O D) A reduced row echelon form of a matrix is not unique E) If a square matrix is singular, then the determinant of its is 0
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