MATH 1210 Midterm: MATH 1210 Fall2009Test2

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Fall 2009 test 2: find an equation of the plane passing through the points a(2, 1, 0), b(1, 5, 1), c( 1, 3, 1), find the intersection of the line x 1. 1 and the plane 3x 2y +4z = 15: suppose we are given a system of 31 linear equation in 23 variables. It is known that the solution has exactly 4 parameters. What is the rank of the coe cient matrix and the augmented matrix: assume the matrix m = Find a and b: assume that the matrix b has size 7 5 and a(c t b) has size 8 5. What are the sizes of a and c: find a vector u such that u h5, 0, 2i = h1, 13, 5i, find the cofactor c32 of the matrix a = 2 4: consider the system 2x + y = 1, x 4y = 14. In fact anything of the form ht, 1,

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