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4761

If M and N are two matrices defined by M = \(\begin{pmatrix} 1 & 3 &  2 \\ 4 & 5 & -1 \\ -3 & 2 & 0 \end{pmatrix}\) and N = \(\begin{pmatrix}1 & -2 & 3 \\ 4 & -1 & 5 \\ 2 & -3 & -1 \end{pmatrix}\).  Evaluate 2M - 3N

  • A. \(\begin{pmatrix} -1 & 12 &  5 \\ 4 & 7 & 13 \\ 0 & -5 & -3 \end{pmatrix}\)
  • B. \(\begin{pmatrix} -1 & 0 &  -5 \\ -4 & 7 & -17 \\ 0 & -5 & 3 \end{pmatrix}\)
  • C. \(\begin{pmatrix} -1 & 12 &  -5 \\ -4 & 13 & -17 \\ -12 & 13 & 3 \end{pmatrix}\)
  • D. \(\begin{pmatrix} -1 & 12 &  -5 \\ 4 & 13 & 13 \\ -12 & 13 & 3 \end{pmatrix}\)
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4762

The inverse of the matrix \(\begin{pmatrix} 2 & 1 \\ 1 & 1 \end{pmatrix}\) is 

  • A. \(\begin{pmatrix} 1 & -1 \\ -1 & 2 \end{pmatrix}\)
  • B. \(\begin{pmatrix} 1 & -1 \\ 1 & 2 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 1 & 1 \\ 1 & 2 \end{pmatrix}\)
  • D. \(\begin{pmatrix} -1 & 1 \\ 1 & 2 \end{pmatrix}\)
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4763

If P = \(\begin{pmatrix} 1 & 0 & -1 \\ 3 & 4 & 5 \\ -1 & 0 & 1 \end{pmatrix}\), then |P| is 

  • A. -8
  • B. 0
  • C. 4
  • D. 8
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4764

Find the values of x where the curve y = x\(^3\) + 2x\(^2\) - 5x - 6 crosses the x - axis.

  • A. -2, -1, and 3
  • B. -2, 1 and -3
  • C. 2, -1, and -3
  • D. 2, 1, and 3
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4765

Find x and y, respectively, in the subtraction above carried out in base 5.

  • A. 2, 4
  • B. 3, 2
  • C. 4, 2
  • D. 4, 3
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