Transpose: AT
- Algorithm: AT[i,j] = A[j,i], exchange the row and column indices.
- # operations
Scalar multiplication:
- Precondition: c is a real number.
- Algorithm: , multiply each
element of A by c.
- # operations
Addition:
- Precondition: A and B have the same shape.
- Algorithm: (A + B)[i,j] = A[i,j] + B[i,j], add
element by element.
- # operations
Dot product (of vectors): uT v
- Preconditions:
- A row vector (uT) times a column vector (v);
- Two vectors have the same size (n).
- Algorithm:
- # operations
Norm (l2-norm) of a vector: .
How can we express matrix subtraction in terms of these
operations?
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