Final answer:
The calculation '4N' requires performing a scalar multiplication of the matrix N by 4, resulting in the matrix [0 4] [-4 4].
Step-by-step explanation:
The expression '4N' where 'N' is given by the matrix N = [0 1] [-1 1], suggests we need to perform a scalar multiplication of the matrix 'N' by the scalar '4'. In mathematics, scalar multiplication involves multiplying every entry of a matrix by a scalar value. In this case, you multiply both entries of the first row by 4 and both entries of the second row by 4.
The result of the scalar multiplication 4N will be a new matrix where each entry is four times the corresponding entry in matrix N:
- 4*0 = 0
- 4*1 = 4
- 4*(-1) = -4
- 4*1 = 4
Therefore, the matrix resulting from 4N is:
4N = [0 4] [-4 4]