Ex 4.5, 1 - Chapter 4 Class 12 Determinants (Term 1)
Last updated at Feb. 9, 2022 by Teachoo
Ex 4.5
Ex 4.5, 1
You are here
Ex 4.5, 2
Ex 4.5, 3 Important
Ex 4.5, 4 Important
Ex 4.5, 5
Ex 4.5, 6 Important
Ex 4.5, 7
Ex 4.5, 8
Ex 4.5, 9
Ex 4.5, 10 Important
Ex 4.5, 11 Important
Ex 4.5, 12
Ex 4.5, 13
Ex 4.5, 14 Important
Ex 4.5, 15 Important
Ex 4.5, 16
Ex 4.5, 17 (MCQ) Important
Ex 4.5, 18 (MCQ) Important
Chapter 4 Class 12 Determinants (Term 1)
Serial order wise
Transcript
Ex 4.5, 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 4.5, 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)]
