Solution Found!
Solved: PROBLEM 30Ea. Fill in the blank in the following
Chapter 1, Problem 30E(choose chapter or problem)
a. Fill in the blank in the following statement: “If A is an \(m \times n\) matrix, then the columns of A are linearly independent if and only if A has __________ pivot columns.”
b. Explain why the statement in (a) is true.
Questions & Answers
QUESTION:
a. Fill in the blank in the following statement: “If A is an \(m \times n\) matrix, then the columns of A are linearly independent if and only if A has __________ pivot columns.”
b. Explain why the statement in (a) is true.
ANSWER:PROBLEM 30Ea. Fill in the blank in the following statement: “If A is an m × n matrix, then the columns of A are linearly independent if and only if A has __________ pivot columns.”b. Explain why the statement in (a) is true.Solution : Step 1: a: In this problem we need to in the blank, so our suitable answer is “If A is an m × n matrix, then the columns of A are linearly independent if and only if A has ___n pivot columns.”Consequently ‘ a’ is TRUE.