Ex 4.4
Ex 4.4, 2
Ex 4.4, 3 Important
Ex 4.4, 4 Important
Ex 4.4, 5
Ex 4.4, 6 Important
Ex 4.4, 7
Ex 4.4, 8
Ex 4.4, 9
Ex 4.4, 10 Important
Ex 4.4, 11 Important
Ex 4.4, 12
Ex 4.4, 13
Ex 4.4, 14 Important
Ex 4.4, 15 Important
Ex 4.4, 16
Ex 4.4, 17 (MCQ) Important
Ex 4.4, 18 (MCQ) Important
Last updated at May 8, 2024 by Teachoo
Ex 4.4, 1 (Method 1) Find adjoint of each of the matrices. [■8(1&2@3&4)] A = [■8(1&2@3&4)] adj A = [■8(1&2@3&4)] = [■8(𝟒&−𝟐@−𝟑&𝟏)] Ex 4.4, 1 (Method 2) Find adjoint of each of the matrices. [■8(1&2@3&4)] Let A = [■8(1&2@3&4)] adj A =[■8(𝐴11&𝐴21@𝐴12&𝐴22)] Step 1: Calculate minors M11 = |■8(2&2@3&4)| M12 = |■8(2&2@3&4)| M21 = |■8(1&2@3&4)| M22 = |■8(1&2@3&4)| Step 2: Calculate cofactors A11 = 〖"( – 1)" 〗^(1+1) . M11 = 〖"( – 1)" 〗^2 4 = 4 A12 = 〖"( – 1)" 〗^(1+2) . M12 = 〖"( – 1)" 〗^3 (3) = ( – 1) (3) = –3 A21 = 〖"( – 1)" 〗^(2+1) . M21 = 〖"( – 1)" 〗^3 2 = ( – 1) (2) = –2 A22 = 〖"( – 1)" 〗^(2+2) (1) = 〖"( – 1)" 〗^4 (1) = 1 Step 3: Calculate adjoint adj A = [■8(A11&A12@A21&A22)] = [■8(𝟒&−𝟐@−𝟑&𝟏)]