Suppose a matrix A has row reduced echelon form given by RREF(A) = egin{bmatrix} 1 & 0 & -2 & 0 & 4\ 0 & 1 & 3 & 0 & -2\ 0 & 0 & 0 & 1 & 1 end{bmatrix} What is the rank of A? A. rank(A) = 1 B. rank(A) = 2 C. rank(A) = 3 D. rank(A) = 4 E. rank(A) = 5 F. rank(A) = 6 Suppose a matrix A has row reduced echelon form given by RREF(A) = egin{bmatrix} 0 & 1 & -2 & 3 & 0 & -1\ 0 & 0 & 0 & 0 & 1 & 1\ 0 & 0 & 0 & 0 & 0 & 0\ 0 & 0 & 0 & 0 & 0 & 0 end{bmatrix} What is the dimension of the solution space of Ax = 0? A. 0 B. 1 C. 2 D. 3 E. 4 F. 5
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First, let's consider the row reduced echelon form (RREF) of matrix A: RREF(A) = $\begin{bmatrix} 2 \end{bmatrix}$ Show more…
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