Solution: Construct a 3 × 3 matrix, not in echelon form,

Chapter 1, Problem 30E

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QUESTION:

Construct a \(3 \times 3\) matrix, not in echelon form, whose columns do not span \(\mathbb{R}^{3}\). Show that the matrix you construct has the desired property.

Questions & Answers

QUESTION:

Construct a \(3 \times 3\) matrix, not in echelon form, whose columns do not span \(\mathbb{R}^{3}\). Show that the matrix you construct has the desired property.

ANSWER:

Solution :

Step 1 :

The objective is to construct a 3matrix that is not a echelon form, and its columns do not span R3.

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