Final answer:
To find ATA and AAT, one must know the complete matrix A and use standard matrix operations: transposition and multiplication. However, the problem as stated does not provide a complete matrix A, hence these operations cannot be performed without further information.
Step-by-step explanation:
The student's question involves calculating ATA and AAT where A represents a matrix. To clarify, ATA can be interpreted as the matrix A transposed and then multiplied by A, and AAT can be interpreted as A multiplied by A transposed. However, the given reference information does not directly pertain to the calculation of matrix products. Thus, without a clear definition of matrix A beyond the elements provided (which seems partially incomplete), we cannot compute the exact products ATA and AAT. It is important to have complete rows and columns of a matrix to perform such calculations. Generally, to find ATA or AAT, the following steps are involved:
- Transpose matrix A to get AT (if necessary).
- Multiply the transposed matrix by A for ATA or matrix A by the transposed matrix for AAT.
Note that the multiplication of matrices is not commutative, meaning ATA is not necessarily equal to AAT. The operations must be conducted as specified