Question

3. The following three augmented matrices are in reduced row echelon form. Indicate if they are consistent or inconsistent, dependent or independent? Solve each. egin{align} a. egin{bmatrix} 1 & 0 & 0 & mid & 3 \ 0 & 1 & 0 & mid & -2 \ 0 & 0 & 1 & mid & 4 end{bmatrix} \ b. egin{bmatrix} 1 & 0 & -1 & mid & 3 \ 0 & 1 & 2 & mid & -2 \ 0 & 0 & 0 & mid & 4 end{bmatrix} \ c. egin{bmatrix} 1 & 0 & -1 & mid & 3 \ 0 & 1 & 2 & mid & -2 \ 0 & 0 & 0 & mid & 0 end{bmatrix} end{align}

          3. The following three augmented matrices are in reduced row echelon form. Indicate if they are consistent or inconsistent, dependent or independent? Solve each.
egin{align*}
a. egin{bmatrix} 1 & 0 & 0 & mid & 3 \ 0 & 1 & 0 & mid & -2 \ 0 & 0 & 1 & mid & 4 end{bmatrix} \
b. egin{bmatrix} 1 & 0 & -1 & mid & 3 \ 0 & 1 & 2 & mid & -2 \ 0 & 0 & 0 & mid & 4 end{bmatrix} \
c. egin{bmatrix} 1 & 0 & -1 & mid & 3 \ 0 & 1 & 2 & mid & -2 \ 0 & 0 & 0 & mid & 0 end{bmatrix}
end{align*}

3. The following three augmented matrices are in reduced row echelon form. Indicate if they are consistent or inconsistent, dependent or independent? Solve each.
eginalign*
a. eginbmatrix 1 0 0 mid 3 0 1 0 mid -2 0 0 1 mid 4 endbmatrix b. eginbmatrix 1 0 -1 mid 3 0 1 2 mid -2 0 0 0 mid 4 endbmatrix c. eginbmatrix 1 0 -1 mid 3 0 1 2 mid -2 0 0 0 mid 0 endbmatrix
endalign*

Added by Brenda G.

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