CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q212 Marksmatrix_multiplication
CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 21 (Matrices)
Multiply [[2,1],[3,2],[−1,1]] by [[1,0,1],[−1,2,1]]. OR If Aᵀ=[[2,4],[3,6],[1,5]] and B=[[1,1,2],[−1,3,2]], find Aᵀ−Bᵀ.
Alternative 1 2 Marks
Multiply [[2,1],[3,2],[−1,1]] by [[1,0,1],[−1,2,1]].
Answer: [[1,2,3],[1,4,5],[−2,2,0]].
- Use row-by-column products.
- The three rows obtained are (1,2,3),(1,4,5),(−2,2,0).
- Place these rows in order.
Alternative 2 2 Marks
If Aᵀ=[[2,4],[3,6],[1,5]] and B=[[1,1,2],[−1,3,2]], find Aᵀ−Bᵀ.
Answer: [[1,5],[2,3],[−1,3]].
- Transpose B to [[1,−1],[1,3],[2,2]].
- Subtract corresponding entries from Aᵀ.
- The resulting rows are (1,5),(2,3),(−1,3).