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Matrices
Matrices

Matrix Algebra PYQ | JEE Main 2025 | Number of Matrices Question

❓ Question Let A = ( a b 0 d ) , a , b , d ∈ { − 1 , 0 , 1 } A=\begin{pmatrix} a & b\\ 0 & d \end{pmatrix}, \qquad a,b,d\in\{-1,0,1\} and…

Singular Matrix Condition Using Determinant

❓ Concept 2×2 matrix dikhi? Aur question bole “singular” ? πŸ‘‰ Bas ek chhoti si identity yaad rakh lo — baaki saara game automatic ho jaata hai…

Determinant Zero Method for Matrix Counting

❓ Question The number of singular matrices of order 2 , whose elements are taken from the set { 2 ,   3 ,   6 ,   9 } , is equal to ? πŸ–Ό️ Quest…

Adjugate of Adjugate Matrix Determinant Problem

❓ Question Let A A be a 3 × 3 3 \times 3 3 × 3 matrix such that ∣ adj ⁡ ( adj ⁡ ( adj ⁡ A ) ) ∣ = 81. If S = { n ∈ Z : ∣ adj ⁡ ( adj ⁡ A ) ∣ (…

Matrix Entries Problem with Diagonal Sum Constraint

❓ Question The number of all 3 × 3 3\times3  matrices A A , with entries from the set { − 1 , 0 , 1 } \{-1,0,1\} such that the sum of the diagonal …