Let T : n m be a linear transformation, with A its
Chapter 1, Problem 31E(choose chapter or problem)
Let T : ?n? ?m be a linear transformation, with A its standard matrix. Complete the following statement to make it true: “T is one-to-one if and only if A has __________ pivot columns.” Explain why the statement is true. [Hint: Look in the exercises for Section 1.7.]
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