Let A = [−4 −5 3], B = [24 45 −33], and C = [8 13 −9] Are A, B and C l

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Let A = [−4 −5 3], B = [24 45 −33], and C = [8 13 −9] Are A, B and C linearly dependent, or are they linearly independent? Linearly independent Linearly dependent If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds. A + B + C = 0.

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Let

A = [\begin{matrix} - 4 \\ - 5 \\ 3 \end{matrix}], B = [\begin{matrix} 24 \\ 45 \\ - 33 \end{matrix}]

, and

C = [\begin{matrix} 8 \\ 13 \\ - 9 \end{matrix}]

Are

A, B

and

C

linearly dependent, or are they linearly independent? Linearly independent Linearly dependent

If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.