Answer:B. [10 2]
[6 4]
[8 4]
Step-by-step explanation:
Javi [5 1]
Victor [3 2]
Chris [4 2]
A.
[10 1]
[6 2]
[8 2]
B.
[10 2]
[6 4]
[8 4]
C.
[7 3]
[5 4]
[6 4]
D.
[10 1]
[3 2]
[4 2]
Step-by-step explanation:
As a general rule, to double, triple or as the case may be, the result of a matrix, we apply what is known in Maths as scalar multiplication.
Scalar multiplication seeks to multiply the entries in a matrix by a scalar. The resulting matrix is called the scalar product of the original matrix.
For instance:
Let matrix A = [a b] [c d] and k be a scalar.
The matrix kA is called a scalar product of the matrix, A and the constant, k is defined as:
kA = k [a b] [c d]
= [ka kb] [kc kd]
So, for the given question, the best option would be the matrix that depicts a scalar multiple of 2 of the original matrix entry. Option B.
I.e:
Javi = 2[5 1] = [2*5 2*1] = [10 2]
Victor= 2[3 2] = [2*3 2*2] = [6 4]
Chris = 2[4 2] = [2*4 2*2] = [8 4]