Question
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 \( y= \)
Ask by Huang Savage. in Saudi Arabia
Mar 16,2025
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Answer
\( x = -9 \) and \( y = 3 \).
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Beyond the Answer
To solve the equation \[ \left[\begin{array}{rr}2 & x \\ y & -5\end{array}\right] = \left[\begin{array}{rr}2 & -9 \\ 3 & -5\end{array}\right], \] we need to equate corresponding elements from both matrices. For the \( (1,2) \) position: \[ x = -9. \] For the \( (2,1) \) position: \[ y = 3. \] Thus, the values are \( x = -9 \) and \( y = 3 \).