Question
Download Solution PDFFind the value of x and y such that \(\left[ {\begin{array}{*{20}{c}} {x - y}\\ {x + y} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 2\\ 16 \end{array}} \right]\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If A and B are two matrices then A = B ⇔ A and B are of same order and the corresponding elements of A and B are same.
Calculation:
Given: \(\left[ {\begin{array}{*{20}{c}} {x - y}\\ {x + y} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 2\\ 16 \end{array}} \right]\)
As we know that, if A and B are two matrices then A = B ⇔ A and B are of same order and the corresponding elements of A and B are same.
⇒ x - y = 2--------(1)
⇒ x + y = 16---------(2)
On adding equation (1) and (2) we get,
⇒ x = 9
Now by substituting x = 6 in equation (1) we get
⇒ 9 + y = 16 ⇒ y = 7
Hence, x = 9 and y = 7
Last updated on Jun 20, 2025
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