Solve for A (complex solution)
\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{C}\text{, }&B=S\end{matrix}\right.
Solve for B (complex solution)
\left\{\begin{matrix}\\B=S\text{, }&\text{unconditionally}\\B\in \mathrm{C}\text{, }&A=0\end{matrix}\right.
Solve for A
\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&B=S\end{matrix}\right.
Solve for B
\left\{\begin{matrix}\\B=S\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&A=0\end{matrix}\right.
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BA-AS=0
Subtract AS from both sides.
\left(B-S\right)A=0
Combine all terms containing A.
A=0
Divide 0 by B-S.
AB=AS
The equation is in standard form.
\frac{AB}{A}=\frac{AS}{A}
Divide both sides by A.
B=\frac{AS}{A}
Dividing by A undoes the multiplication by A.
B=S
Divide AS by A.
BA-AS=0
Subtract AS from both sides.
\left(B-S\right)A=0
Combine all terms containing A.
A=0
Divide 0 by B-S.
AB=AS
The equation is in standard form.
\frac{AB}{A}=\frac{AS}{A}
Divide both sides by A.
B=\frac{AS}{A}
Dividing by A undoes the multiplication by A.
B=S
Divide AS by A.
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Matrix
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Simultaneous equation
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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}