Linear Algebra and Its Applications · Problem 1.2.18
Matrices and Gaussian Elimination — Gilbert Strang
Mathematics · geometry-of-linear-equations
Problem
Move the third plane in Problem 17 to a parallel plane 2x+3y+2z=9. Now the three equations have no solution—why not? The first two planes meet along the line L, but the third plane doesn't \_\_\_\_\_\_ that line.