3. (10 points) Consider the collection {r-r²,3x+5,3x² + 3x +1}. Show that this collection is linearly independent. • Use

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3 10 Points Consider The Collection R R 3x 5 3x 3x 1 Show That This Collection Is Linearly Independent Use 1 (41.25 KiB) Viewed 33 times

3. (10 points) Consider the collection {r-r²,3x+5,3x² + 3x +1}. Show that this collection is linearly independent. • Use row-reduction to express 2 + x² in terms of the members of the collection. 4. (10 points) You will create an example of linear independence using matrices. • Select four two-by-two matrices that are linearly independent. Each matrix must have at least two nonzero entries. Show that the matrices are linearly independent. • Create another two-by-two matrix that is not a scale multiple of any of the matrices in the previous part. Express this new matrix as a linear combination of the four independent matrices you selected.