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[M] In Exercises 37–40, determine if the
Chapter 1, Problem 37E(choose chapter or problem)
QUESTION:
PROBLEM 37E
[M] In Exercises 37–40, determine if the columns of the matrix span ℝ4.
Questions & Answers
QUESTION:
PROBLEM 37E
[M] In Exercises 37–40, determine if the columns of the matrix span ℝ4.
ANSWER:
Solution
Step 1
In this problem we have to determine whether the columns of the given matrix span .
Given:
We know that the columns of A span only if the matrix A has a pivot position in each row.
Let
Now let us perform the elementary row operations to check whether each row has pivot element or not.