Determine if the columns of the matrix span ?4.

Chapter 1, Problem 38E

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QUESTION:

PROBLEM 38E

Determine if the columns of the matrix span ℝ4.

Questions & Answers

QUESTION:

PROBLEM 38E

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.

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