Level:
Project ID:
9000019905
Accepted:
1
Clonable:
0
Easy:
0
Let \(A\)
and \(A'\)
be the coefficient matrix and the augmented matrix of the following linear system,
respectively. Find the ranks of these matrices.
\[
\begin{array}{cl}
\phantom{ -} 3x + 5y +\phantom{ 2}z =\phantom{ -}10&
\\
- 2x - 3y + 2z = -10&
\\
\phantom{ - 2}x +\phantom{ 2}y - 5z =\phantom{ -}10& \end{array}
\]
\(\mathop{\mathrm{rank}}(A) = 2,\ \mathop{\mathrm{rank}}(A') = 2\)
\(\mathop{\mathrm{rank}}(A) = 3,\ \mathop{\mathrm{rank}}(A') = 3\)
\(\mathop{\mathrm{rank}}(A) = 3,\ \mathop{\mathrm{rank}}(A') = 2\)
\(\mathop{\mathrm{rank}}(A) = 2,\ \mathop{\mathrm{rank}}(A') = 3\)