In Exercises 23–26, describe the possible

Chapter 1, Problem 26E

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QUESTION:

In Exercises 23–26, describe the possible echelon forms of the matrix. Use the notation of Example 1 in Section 1.2.

A is a \(4 \times 3\) matrix, A = [\(a_1\) \(a_2\) \(a_3\)] such that {\(a_1\) \(a_2\)} is linearly independent and \(a_3\) is not in Span {\(a_1\) \(a_2\)}.

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QUESTION:

In Exercises 23–26, describe the possible echelon forms of the matrix. Use the notation of Example 1 in Section 1.2.

A is a \(4 \times 3\) matrix, A = [\(a_1\) \(a_2\) \(a_3\)] such that {\(a_1\) \(a_2\)} is linearly independent and \(a_3\) is not in Span {\(a_1\) \(a_2\)}.

ANSWER:

SOLUTION

Step 1

We have to find the possible echelon form of a  matrix given by

Such that is linearly independent  and  is not in span {}.

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