Project ForgeEngineering Mathematics
Linear Algebra
GATE 2022
Easy
If A = [[10, 2k+5],[3k-3, k+5]] is a symmetric matrix, the value of k is ___________.
- 8
- B5
- C−0.4
- D(1+√1561)/12
Explanation
For A to be symmetric, its off-diagonal entries must be equal: 2k+5 = 3k-3. Solving: 5+3 = 3k-2k, so k = 8.
Source: GATE ME 2022 Session 1 (ME-1) (2022)
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