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2. The matrix R is the reduced row echelon form of the matrix A. a) By inspection of the matrix R, find the rank and nullity of A. b) Confirm that the rank and nullity satisfy Formula (4) in the textbook. c) Find the number of learning variables and the number of parameters in the general solution of Ax = 0 without solving the system. A = egin{bmatrix} 0 & 2 & 2 & 4 \ 1 & 0 & -1 & -3 \ 2 & 3 & 1 & 1 \ -2 & 1 & 3 & -2 end{bmatrix}; R = egin{bmatrix} 1 & 0 & -1 & 0 \ 0 & 1 & 1 & 0 \ 0 & 0 & 0 & 1 \ 0 & 0 & 0 & 0 end{bmatrix}

          2. The matrix R is the reduced row echelon form of the matrix A.
a) By inspection of the matrix R, find the rank and nullity of A.
b) Confirm that the rank and nullity satisfy Formula (4) in the textbook.
c) Find the number of learning variables and the number of parameters in the general solution of Ax = 0 without solving the system.
A = egin{bmatrix} 0 & 2 & 2 & 4 \ 1 & 0 & -1 & -3 \ 2 & 3 & 1 & 1 \ -2 & 1 & 3 & -2 end{bmatrix}; R = egin{bmatrix} 1 & 0 & -1 & 0 \ 0 & 1 & 1 & 0 \ 0 & 0 & 0 & 1 \ 0 & 0 & 0 & 0 end{bmatrix}

2. The matrix R is the reduced row echelon form of the matrix A.
a) By inspection of the matrix R, find the rank and nullity of A.
b) Confirm that the rank and nullity satisfy Formula (4) in the textbook.
c) Find the number of learning variables and the number of parameters in the general solution of Ax = 0 without solving the system.
A = eginbmatrix 0 2 2 4 1 0 -1 -3 2 3 1 1 -2 1 3 -2 endbmatrix; R = eginbmatrix 1 0 -1 0 0 1 1 0 0 0 0 1 0 0 0 0 endbmatrix

Added by Emily W.

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