Using determinants solution: Pa = 3 + 12t+4t² Pb = 5-2t + 3t² Pc = 3+2t² Express the vectors as a single matrix A Find the determinant of the matrix A. (You may use MATLAB) Is the set of vectors {P₁, P2, P3} forming the spanning set for R³? Are the vectors P₁, P2, P3 linearly independent? State the bases for your decision. Do the vectors p₁, P2, P3 form a basis for R³? State the basis of your conclusion

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