Calculate the matrix of cofactors of A, denoted C. Take the transpose of C to obtain the adjoint matrix, denoted adj(A). The cofactor matrix C is obtained by replacing each element of A with its cofactor, which involves cross products of matrix minors. Given the matrix: A = [[a, b]...
Now let us examine these steps with an example. Let us consider the following 3×33×3 matrix. A=⎡⎣⎢43−1−3−21−3−32⎤⎦⎥.A=[4−3−33−2−3−112]. We want to diagonalize the matrix if possible. Step 1: Find the characteristic polynomial The characte...