The matrix shows the number of different basketball shots three players made in two minutes. these players want to double these results. which matrix shows what the players want to do?

B

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]

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]

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]

765238725478629038640962136509762139056074

step-by-step explanation:

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