By calculating the inverse of matrix, X = [tex]\left[\begin{array}{ccc}0.5&2\\1.5&1\\\end{array}\right][/tex].
What is inverse of matrix?
The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.
[tex]A = \left[\begin{array}{ccc}3&1\\4&2\end{array}\right] \\\\B = \left[\begin{array}{ccc}3&7\\5&10\end{array}\right] \\\\AX = B\\\\X = A^{-1}B\\ \\A^{-1} = adjA/|A| = \left[\begin{array}{ccc}1&-0.5\\-2&1.5\end{array}\right] \\\\X = \left[\begin{array}{ccc}0.5&2\\1.5&1\end{array}\right][/tex]
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