1 0 0 0 -5 0 1 0 0 0 0 10 0 0 0 1 3 A is a 4 x 5 matrix which is row-equivalent to Which of these statements about the linear transformation T(x) = Ax is true? (A) T is neither one-to-one nor onto, because A is not square. (B) T is one-to-one, because A has a pivot in every row. (C) T is one-to-one, because A has a pivot in every column. (D) T is onto, because A has a pivot in every row.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1 0 0 0 -5
0 1 0 0
0 0 1 0
0 0 0 1
3
A is a 4 x 5 matrix which is row-equivalent to
Which of these statements about
the linear transformation T(x) = Ax is true?
(A) T is neither one-to-one nor onto, because A is not square.
(B) T is one-to-one, because A has a pivot in every row.
(C) T is one-to-one, because A has a pivot in every column.
(D) T is onto, because A has a pivot in every row.
Transcribed Image Text:1 0 0 0 -5 0 1 0 0 0 0 1 0 0 0 0 1 3 A is a 4 x 5 matrix which is row-equivalent to Which of these statements about the linear transformation T(x) = Ax is true? (A) T is neither one-to-one nor onto, because A is not square. (B) T is one-to-one, because A has a pivot in every row. (C) T is one-to-one, because A has a pivot in every column. (D) T is onto, because A has a pivot in every row.
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