**Determine if the columns of the matrix form a linearly independent set. Justify your answer. -2…**

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## Question “Determine if the columns of the matrix form a linearly independent set. Justify your answer. -2…”

## Answer

Answer:

Data provided:

It is necessary to determine if the columns in the matrix form a linearly-independent set.

To determine if the columns in the matrix form a linearly-independent set, we must solve the equation given below.

The augmented matrix can be written as follows:

Let’s now reduce the matrix to the row-echelon reduced form.

We get the following results from

by interchanging row1 with row3.

, we get –

, we get –

, we get –

, we get –

, we get –

, we get –

, we get –

, we get –

, we get –

The matrix above is in reduced row-echelon format.

equation has a trivial solution.

If A is the given matrix, then the augmented

This matrix’s reduced row-echelon form indicates that Ax=0 only has the trivial solution.

The columns of A are therefore a linearly dependent set.

Therefore, the best option is (D).

## Conclusion

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