9. (Strang 4.1.22) If P is the plane of vectors in R' satisfying r1+x2+ x3 + x4 = 0, find a basis for P, and construct a matrix that has P as its nullspace.

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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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9. (Strang 4.1.22) If P is the plane of vectors in R' satisfying x1+x2+ x3 + x4 = 0, find a
basis for P-, and construct a matrix that has P as its nullspace.
Transcribed Image Text:9. (Strang 4.1.22) If P is the plane of vectors in R' satisfying x1+x2+ x3 + x4 = 0, find a basis for P-, and construct a matrix that has P as its nullspace.
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