The Matrices and Determinants 2 category offers a collection of practice questions focused on higher‑level matrix operations and determinant calculations. It helps learners deepen their understanding of topics such as matrix multiplication, inverses, eigenvalues, and determinant properties, preparing them for advanced exams.
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
