MATH 3510 Chapter Notes - Chapter 19: Row And Column Spaces, Invertible Matrix, Solution Set
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Replace the column vectors of r that appear in the dependency equations by the corresponding column vectors of a. This completes the second part of the problem. Exercise set 4. 7: list the row vectors and column vectors of the matrix. ; then use that result to find the vector form of the general solution of (a) (b) (c) (d) Answer: (a) (b) (c) (d: find a basis for the null space of a. (a) (b) (c) (d) (e, in each part, a matrix in row echelon form is given. By inspection, find bases for the row and column spaces of a. (a) (b) (c) (d) Show that relative to an and that the column space consists of all points in the xy-plane (see the accompanying figure). Coordinate system in 3-space the null space of a consists of all points on the z-axis (b) find a matrix whose null space is the x-axis and whose column space is the yz-plane.
