\left( \begin{array} { c c c } { 4 } & { - 1 } & { 2 } \\ { 3 } & { 2 } & { 0 } \\ { 2 } & { 0 } & { 1 } \end{array} \right) \cdot \left( \begin{array} { l } { u _ { 1 } } \\ { u _ { 2 } } \\ { u _ { 3 } } \end{array} \right) = 3 \left( \begin{array} { l } { u _ { 1 } } \\ { u _ { 2 } } \\ { u _ { 3 } } \end{array} \right) + \left( \begin{array} { c } { 3 } \\ { 1 } \\ { - 2 } \end{array} \right)
Solve for u_1, u_2, u_3
u_{1}=u_{3}-1
u_{2}=3u_{3}-4
u_{3}\in \mathrm{R}
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}