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GATE CH 2020 (with Solutions).pdfpages: 4–4
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FAILMCQpage 4holdREVIEW_LOW_CONFIDENCEP2SAMPLEUNREVIEWEDtype=MCQ · page=4 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.777
Extracted10 / 67
For
,
, 2, 3, 4 the diagonal elements are all zero and
fy the matrix is_______.
Options
- A.12
- B.16
- C.6
- D.0
Answer
CSolution
Given matrix M=[mᵤᵢⱼ], i ,j=1,2,3,4 and the diagonal elements are all zero and mᵢⱼ=−mⱼᵢ. So we can represent the matrix as follows :
0–––
–0––
––0–
–––0
The numbers which are connected by arrows will be the same in magnitude and opposite in sign.
So the minimum number of elements required to fully specify the matrix is just 6 and other will be known accordingly.
Hence, the correct option is (C).
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Provenance status
Source PDF:
GATE CH 2020 (with Solutions).pdf| Segment | Page | BBox | Asset | Equation | Link |
|---|---|---|---|---|---|
| stem | 4 | — | —none | — | REVIEW |
| stem | 4 | — | —none | — | REVIEW |
| stem | 4 | — | —none | — | REVIEW |
Equations:none
Dimensions
- structurePASS
- question_textFAIL
- optionsPASS
- answerPASS
- solutionPASS
- mathPASS
- cross_entityPASS
Issues
- operator_set_changed_raw_vs_derived