7 public questions tagged with this topic.
Here's the idea in simple terms: solving fully: apply relevant formula, put numbers, compute. Result comes as A is scalar matrix and B is a diagonal matrix. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Simply put, using formula we get 24. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 24.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Here's the idea in simple terms: complete solution: write formula, plug data, do arithmetic. Final value matches I. Simple and accurate.
Ref: NCERT Mathematics Class XI and XII
Here's the idea in simple terms: formula det(kA)=k³detA for 3×3. So det(2AB)=2³·detA·detB=8×3×4=96. Complete calculation step by step.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Think of it like this: using formula we get a/b is one of the cube roots of -1.. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get a/b is one of the cube roots of -1..
Ref: NCERT Mathematics Class XI and XII
From the definition, A=kI₃. Inverse formula (kI)⁻¹=(1/k)I. Because kI×(1/k)I=I₃. So answer (1/k)I. Full solution.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
In easy words, determinant expansion must use same row: |A|=Σ a₁ⱼC₁ⱼ. Option A uses a₁₂C₁₁+a₂₂C₂₂+a₂₃C₂₃ mixing rows, so false. Complete check.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
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