Description
Explanation & Answer
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#10 is true.
#11. is False. The rank of a matrix is simply not the number of its nonzero rows. The rank of a matrix is the number of leading 1's in its reduced row echelon form.
#12.FALSE. Even though matrix A is transformed by elementary row operations it may NOT be in reduced row echelon form. The rank must be the number of nonzero rows in reduced row echelon form.
#13. TRUE. We have the matrix in reduced row echelon form, therefore the number of nonzero rows is the rank of matrix A. Even though nonzero, we can divide that row by that number to get the leading 1.
#14.TRUE.
#15.TRUE
#16. TRUE
#17. TRUE.
#18.TRUE.
#19.FALSE
#20.TRUE
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