Question:
\([\,2a-7\ \ \ 1\,]=[\,a\ \ \ b-1\,]\Rightarrow (a,b)=\ ?\)
\([\,2a-7\ \ \ 1\,]=[\,a\ \ \ b-1\,]\Rightarrow (a,b)=\ ?\)
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Equal matrices/vectors \(\Rightarrow\) equal corresponding entries.
Updated On: Oct 17, 2025
- \((1,7)\)
- \((2,7)\)
- \((7,2)\)
- \((2,3)\)
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The Correct Option is C
Solution and Explanation
Idea. Two equal row vectors must match entry by entry. Turn each position into a small equation.
Step 1. First position. \(2a-7=a\Rightarrow a=7\).
Step 2. Second position. \(1=b-1\Rightarrow b=2\).
So \((a,b)=(7,2)\).
Step 1. First position. \(2a-7=a\Rightarrow a=7\).
Step 2. Second position. \(1=b-1\Rightarrow b=2\).
So \((a,b)=(7,2)\).
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