Find a basis for col(A) and nul(A) and state the dimension of each. -3 9 -2-77 A = 2 -6 4 8 3 -9-2 2

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A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

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Q: uestion 2. Prove that P(ANB) = P(A) ΜP(B).

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Q: (5) Consider the differential equation x²y" - (x² +2.c)y' + (x + 2) y = x³. Verify that y₁ = r is…

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Q: Correct solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…