Question
Question: Find the value of \[x + y\]from the following equation: \[2\left[ {\begin{array}{*{20}{c}} 1&3...
Find the value of x+yfrom the following equation:
1&3 \\\ 0&x; \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} y&0 \\\ 1&2 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 5&6 \\\ 1&8 \end{array}} \right]$$.Explanation
Solution
To solve the question we have an idea of operations of matrices. At first we have to multiply by the matrix \left[ {\begin{array}{*{20}{c}} 1&3 \\\ 0&x; \end{array}} \right]by 2 and evaluate it and obtained 2×2matrix then added to the matrix\left[ {\begin{array}{*{20}{c}} y&0 \\\ 1&2 \end{array}} \right]. Finally we have to equate the obtained matrix with\left[ {\begin{array}{*{20}{c}} 5&6 \\\ 1&8 \end{array}} \right]and find out the values of x and y which are then added to evaluatex+y.
Complete step by step answer:
The matrix equation is given by