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Matrix Formulation of the Multiple Regression Model: If x =

If x = (begin{pmatrix} 1 & 0 & 1 \ 2 & -1 & 0 \ -1 & 0 & 1end{pmatrix}) and y = (begin{pmatrix} -1 & 1 & 2 \ 0 & -1 & -1 \ 2 & 0 & 1end{pmatrix})
find 2x – y

  • A.
    (begin{pmatrix} 3 & -1 & 0 \ 4 & -3 & -1 \ -4 & 1 & 1end{pmatrix})
  • B.
    (begin{pmatrix} 3 & -1 & 0 \ 4 & -1 & 1 \ -4 & 1 & 1end{pmatrix})
  • C.
    (begin{pmatrix} 3 & -1 & 0 \ 4 & -3 & 1 \ -4 & 1 & 1end{pmatrix})
  • D.
    (begin{pmatrix} 3 & -1 & 0 \ 4 & 1 & 1 \ -4 & -1 & 1end{pmatrix})
Correct Answer: Option B
Explanation

2(10 – (-1) = 3 2(2) – (0) = 4 2(-1) – (2) = -4
2(0) – (1) = -1 2(-1) – (-1) = -1 2(0) – (-1) = 1
2(10 – (20) = 0 2(0) – (-1) = 1 2(1) – (1) = 1
(begin{pmatrix} 3 & -1 & 0 \ 4 & -1 & 1 \ -4 & 1 & 1end{pmatrix})