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MATH 1300-BorgersenQuiz 5A Solutions14R-Term 22014-04-01Name:Student Number:Answer all questions and show all your work. No calculators allowed. (Total Marks: 25).You have 20 minutes to complete the quiz.1.Find the parametric equations for the line of intersection of the two planesx+y−z= 1,y−4z= 2.2.Find the distance between the pointP(−3,1,3) and the plane 5x+z= 3y−4.
3.Find all eigenvalues of a 3×3 zero matrix, and for each, describe all eigenvectors associatedwith it.