GATE ME 2022 Set 1 — Question 15
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
If is a symmetric matrix, the value of is ___________.
Correct answer
(A) 8
Solution
A matrix is symmetric if , which implies that the elements for all .
For the given matrix:
The condition for symmetry is .
Rearranging the terms to solve for :
Thus, the value of is 8.
For the given matrix:
The condition for symmetry is .
Rearranging the terms to solve for :
Thus, the value of is 8.
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