After substituting the value in the det A = a 3 + b 3 + c 3 – 3abc, we get, a 3 + b 3 + c 3 = 4 or a 3 + b 3 + c 3 = -2. Therefore, answer is option D.Īnswer: The new matrix that we attain by interchanging the rows and columns of the original matrix is referred to as the transpose of the matrix. So, det A = a(a 2 – bc) – b(ac-b 2) + c(c 2 – ab) = a 3 + b 3 + c 3 – 3 and A TA = I The transpose of a matrix times a scalar ( k) is equal to the constant times the transpose of the matrix: (kA) T = kA T For example, $$ Let \: A =\begin$$ The transpose of the transpose of a matrix is the matrix itself: (A T) T = A.
Properties 1) Transpose of Transpose of a Matrix
