Answer:
The elements along the main diagonal.
This is so because the elements
ajj in A
are the same in AT.
The elements along the main diagonal.
This is so because the elements
ajj in A
are the same in AT.
Here are some rules that cover what has been discussed. You should check that they seem reasonable, rather than memorize them. For each rule the matrices have the same number of rows and columns.
| A + 0 = A | A + B = B + A | 0 + 0 = 0 |
| A + (B + C) = (A + B) + C | (ab)A = a(bA) | a(A + B) = aB + aA |
| a0 = 0 | (-1)A = -A | A - A = 0 |
| (AT)T = A | 0T = 0 |
In the above, a and b are scalars (real numbers). A and B are matrices, and 0 is the zero matrix of appropriate dimension.
If A = B and B = C, then does A = C?