Final answer:
The computation of the product of matrices A and B or their cross product and dot product is undefined or ambiguous due to the provided information, which lacks clarity on the dimensions of the matrices or vectors.
Step-by-step explanation:
To compute the indicated expressions using matrices A and B, we first need to note that it is not specified whether A represents a vector or a matrix. From the context of the given information, it seems to imply they are matrices, but the structure of matrix A is not clearly defined. Assuming they are matrices, matrix A appears to be a 2x3 matrix, and B is a 2x2 matrix. However, for matrix multiplication, the number of columns in the first matrix must match the number of rows in the second matrix to be defined. As given, the product AB and BA are, therefore, undefined because the number of columns in A (which is 3) does not match the number of rows in B (which is 2), and vice versa.
If we treat A and B as vectors and aim to compute a cross product or a dot product, we would need each vector to be represented in a three-dimensional space, i.e., A = [Ax, Ay, Az] and B = [Bx, By, Bz]. Using the provided equations, the cross product A x B can be computed as follows:
Č = ᴢ × B = (Ay Bz – Az By)Î + (Az Bx – Ax Bz)ᵇ + (Ax By – Ay Bx)ê.
For the dot product A · B, it simplifies to:
ᴢ B = Ax Bx + Ay By + Az Bz.
Since the question mentions 'indicated expression' and is not explicitly specifying whether to find a cross product or a dot product, the interpretation remains ambiguous without additional context or clarification in the formulation of matrices A and B.