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Determine if the vector(s), polynomial(s), matrices are linearly independent in R^3, P3(R), M 2x2 (R). Show...

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Determine if the vector(s), polynomial(s), matrices are linearlyindependent in R^3, P3(R), M 2x2 (R). Show algebraically how youfound your answer.

a. < 2, 1, 5 > , < -2, 3, 1 > , < -4, 4, 1>

b. x^3 - 3x^2 + 2x +1, -2x^3 + 9x^2 -3, x^3 + 6x

c. | 1 2 | | -3, -1 |

| -4  2 | , | 2 1|

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