Latest questions in this category.
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
Simply put, we verify -1 by full calculation: use standard identity, substitute, simplify step by step to reach -1.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
The logic is straightforward: using formula we get k ≠ 1 and k ≠ -2. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get k ≠ 1 and k ≠ -2.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
We can see that after simplifying, a = 1, b = 2, c = 3, d = 4 is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Recall the rule using formula we get k = 4. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get k = 4.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
In easy words, using formula we get +1. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get +1.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Applying the basic concept, using formula we get -91. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get -91.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Look at it this way: using formula we get null matrix. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get null matrix.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Understanding this is easy: complete solution: write formula, plug data, do arithmetic. Final value matches The determinant is equal to 0. Simple and accurate.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Applying the basic concept, using formula we get AB = I ⇒ AB = BA. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get AB = I ⇒ AB = BA.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Recall the rule formula P=A+Aᵀ gives symmetric, Q=A-Aᵀ gives skew. Computing: P=[[6,6,5],[6,2,9],[5,9,14]], Q=[[0,-2,5],[2,0,-3],[-5,3,0]]. Full solution.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
Think of it like this: complete solution: write formula, plug data, do arithmetic. Final value matches MN = NM. Simple and accurate.
Ref: NCERT Mathematics Class XII — Matrices and Determinants
