Determine if the columns of the matrix form a linearly

Chapter 1, Problem 5E

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QUESTION:

In Exercises 5-8, determine if the columns of the matrix form a linearly independent set. Justify each answer.

\(\left[\begin{array}{rrr}0 & -8 & 5 \\ 3 & -7 & 4 \\ -1 & 5 & -4 \\ 1 & -3 & 2\end{array}\right]\)

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QUESTION:

In Exercises 5-8, determine if the columns of the matrix form a linearly independent set. Justify each answer.

\(\left[\begin{array}{rrr}0 & -8 & 5 \\ 3 & -7 & 4 \\ -1 & 5 & -4 \\ 1 & -3 & 2\end{array}\right]\)

ANSWER:

Solution :

Step 1 : Determine whether the columns of A are linearly dependent or independent.

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