The No.4 question, from a to d, I just cant figure out the answer! please help!

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The No.4 question, from a to d, I just cant figure out the answer! please help!

give 4 X 4 Gauss-Jordan elimination matrix that xonverts the vector v= into the unitcoordinate vector e3 Compute the matrix AB, where the matirx A is the matrix obtained in part(a) and Wirte Gauss-Jordan elimination matrix G for the matirx B pivot B(2,3)and 1 where Compute GB where G and B are give in part(c) compute a basis for the 4 fundamental subspaces associated with the following matrices Answer the following true-false questions. T - F :A linear system can have precisely 3 distinct solutions. T - F: The matrix M = nonsingular if and only if either b = 0 or a = 3b. T - F: A homogeneous linear system of 5 equations and 6 unknowns always has a solution. T - F: If B satisfies B3 + B2 + B = I, then B is nonsingular. T - F :The rank of a matrix is equal to the number of its non-zero rows. T - F: If the matrix A is row equivalent to B, then B is row equivalent to A. T - F: Row equivalent matrices always have the same reduced echelon form. T - F: There are 23 subspaces in IR2.

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