Fill in the blanks so that the resulting statement If $$ \left[\begin{array}{rr}2 & x \ y & -5\end{array} ight]=\left[\begin{array}{rr}2 & -9 \ 3 & -5\end{array} ight] $$, then $$ x= $$ and $$ y= $$

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Fill in the blanks so that the resulting statement If $$ \left[\begin{array}{rr}2 & x \ y & -5\end{array}ight]=\left[\begin{array}{rr}2 & -9 \ 3 & -5\end{array}ight] $$, then $$ x= $$ and $$ y= $$

UpStudy AI · Accepted Answer

1. Two matrices are equal if and only if all corresponding elements are equal.
2. We equate the corresponding elements from the given matrices:
   - Top-right elements: $$x = -9$$.
   - Bottom-left elements: $$y = 3$$.
3. Therefore, the solution is:
   $$
   x = -9 \quad \text{and} \quad y = 3.
   $$
$$ x = -9 $$ and $$ y = 3 $$.

Fill in the blanks so that the resulting statement If \( \left[\begin{array}{rr}2 & x \\ y & -5\end{array}\right]=\left[\begin{array}{rr}2 & -9 \\ 3 & -5\end{array}\right] \), then \( x= \) and \( y= \)

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