Ex 4.3, 1 (i) - Chapter 4 Class 12 Determinants

Transcript

Ex 4.3, 1 Write Minors and Cofactors of the elements of following determinants: (i) |■8(2&−[email protected]&3)| Minor of a11 = M11 = |■8(2&−[email protected]&3)| Minor of a12 = M12 = |■8(2&−[email protected]& 3)| Minor of a21 = M21 = |■8(2&−[email protected]&3)| Minor of a22 = M22 = |■8(2&−[email protected]&3)| Cofactor of a11 = A11 = (–1)1+1 M11 = (–1)2 × 3 = 3 Cofactor of a12 = A12 = (–1)1+1 M12 = (–1)2 × 0 = 0 Cofactor of a21 = A21 = (–1)2+1 M21 = (–1)3 (–4) = –1 (–4) = 4 Cofactor of a22 = A22 = (–1)2+2 M22 = (–1)4 ( 2) = 2 Cofactor of 𝑎_𝑖𝑗= 𝐴_𝑖𝑗 = (−1)^(𝑖+𝑗). 𝑀_𝑖𝑗