104k views
1 vote
What is 4N?
N = [0 1] [-1 1]

User Dsmart
by
7.8k points

1 Answer

4 votes

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]

User Smikey
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories