If matrix A is given as, $A=\left[\begin{array}{cc}2 x & 5 \\ 7 & 3 y\end{array}\right]$ and the transpose of the matrix is, $A^{T}=\left[\begin{array}{ll}8 & 7 \\ 5 & 9\end{array}\right]$. Then the values of x and y are:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → x = 4, y = 3
$A = \begin{bmatrix}2x & 5 \\ 7 & 3y \end{bmatrix}$
$A^T = \begin{bmatrix}2x & 7 \\ 5 & 3y \end{bmatrix}$
$A^T = \begin{bmatrix}8 & 7 \\ 5 & 9 \end{bmatrix}$
$2x = 8 \Rightarrow x = 4$
$3y = 9 \Rightarrow y = 3$
$x = 4,\ y = 3$