Solution Found!
Let T : ?n? ?m be a linear transformation, with A its
Chapter 1, Problem 32E(choose chapter or problem)
PROBLEM 32E
Let T : ℝn→ ℝm be a linear transformation, with A its standard matrix. Complete the following statement to make it true: “T maps ℝn onto ℝm if and only if A has __________ pivot columns.” Find some theorems that explain why the statement is true.
Questions & Answers
QUESTION:
PROBLEM 32E
Let T : ℝn→ ℝm be a linear transformation, with A its standard matrix. Complete the following statement to make it true: “T maps ℝn onto ℝm if and only if A has __________ pivot columns.” Find some theorems that explain why the statement is true.
ANSWER:
Solution :
Step 1 :
Let T : ℝn→ ℝm be a linear transformation, with A its standard matrix. Complete the following statement to make it true: “T maps ℝn onto ℝm if and only if A has __________ pivot columns.” Find some theorems that explain why the statement is true.