Consider the equation: x1 + 2x2 − 3x3 − x4 = 0 a) This equation describes a ’plane’ in R4. This plane is the nullspace N(A) of what matrix A? (Write the equation as Ax = 0.) b) Find two linearly independent vectors that are in this plane. c) Now find three linearly independent vectors that are in this plane. d) Can you find four linearly independent vectors that are in this plane? Why or why not?

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Q: Hi, any help on this problem would be greatly appreciated. Thank you!

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