Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A) Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

Question

Philoid · Accepted Answer

A =

Cofactors of A are:

C₁₁ = – 3 C₂₁ = 2 C₃₁ = 2

C₁₂ = 2 C₂₂ = – 3 C₂₃ = 2

C₁₃ = 2 C₂₃ = 2 C₃₃ = – 3

adj A =

=

Now, (adj A).A =

=

Also, |A|.I = = ( – 3 + 4 + 4)

=

Then, A.(adj A) =

=

Since, (adj A).A = |A|.I = A(adj A)

Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)Verify that (adj A) A=|A| I=A (adj A) for the above matrices.

Find the adjoint of each of the following Matrices and Verify that (adj A) A = |A| I = A (adj A)

Verify that (adj A) A=|A| I=A (adj A) for the above matrices.