need the solution of 2(d) 1. Consider the matrix1 32 -1 011.1 -1A =-32 1-2141 61(a) Find the row space, R(A), and column space, C(A), of A in terms of linearlyindependent rows and columns of A, respectively.(b) Find the bases for R(A) and C(A) obtained in 1(a).(c) Find dim(R(A)) and dim(C(A)).(d) Find the rank(A).2. Consider the matrix A in Problem 1.(a) Find the solution space of the homogeneous system Ax = 0, that is N(A), thenullspace of A.(b) Find the basis and dimension of N(A).1(c) If b =determine whether the nonhomogeneous system Ax = b is consis-2tent. [Instruction: DO NOT solve Ax = b but use 1(b) to conclude.](d) If the system Ax = b is consistent where b is given in 2(c), find the completesolution in the formx = xp + Xhwhere x, denotes a particular solution and x, denotes a solution of the associatedhomogeneous system Ax = 0.Note: It is strongly recommended to use information and results obtained in Problem1 to solve Problem 2.

Name: need the solution of 2(d) 1. Consider the matrix1 32 -1 011.1 -1A =-32
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: need the solution of 2(d) 1. Consider the matrix1 32 -1 011.1 -1A =-32 1-2141 61(a) Find the row space, R(A), and column space, C(A), of A in terms of linearlyindependent rows and columns of A, respectively.(b) Find the bases for R(A) and C(A) obtain