Q75.The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0 , is (1) 5 (2) 6 (3) at least 7 (4) less than 4
What This Question Tests
This problem combines combinatorics with matrix properties, specifically counting non-singular 3x3 matrices with a fixed number of 1s and remaining 0s, requiring careful case analysis.
Concepts Tested
Formulas Used
Determinant of a 3x3 matrix
📚 NCERT Sections This Tests
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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
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5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
📋 Question Details
- Chapter
- Matrices
- Topic
- Determinant of a matrix
- Year
- 2010
- Shift
- Unknown
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 3: Matrices
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