Question:
If
then the value of \( x - y \) is:
If
then the value of \( x - y \) is:
Show Hint
For matrix addition, sum the corresponding elements and equate them to solve for unknown variables.
Updated On: Apr 7, 2026
- 1
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- 5
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The Correct Option is D
Solution and Explanation
Adding the matrices on the left-hand side:
\[
\begin{bmatrix} 3 + 1 & 4 + y \\ 5 + 0 & x + 1 \end{bmatrix}
=
\begin{bmatrix} 7 & 0 \\ 10 & 5 \end{bmatrix}
\]
Comparing corresponding elements:
\[
4 + y = 0 \Rightarrow y = -4
\]
\[
x + 1 = 5 \Rightarrow x = 4
\]
Thus,
\[
x - y = 4 - (-4) = 4 + 4 = 10
\]
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