\left( \begin{array} { l l l } { x _ { 1 } } & { x _ { 2 } } & { x _ { 3 } } \end{array} \right) \left( \begin{array} { l l l } { a } & { b } & { c } \\ { d } & { e } & { f } \\ { g } & { h } & { i } \end{array} \right) \left( \begin{array} { l } { x _ { 1 } } \\ { x _ { 2 } } \\ { x _ { 3 } } \end{array} \right)
Evaluate
\left(\begin{matrix}x_{1}\left(ax_{1}+dx_{2}+gx_{3}\right)+x_{2}\left(bx_{1}+ex_{2}+hx_{3}\right)+x_{3}\left(cx_{1}+fx_{2}+ix_{3}\right)\end{matrix}\right)
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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}