Mathematics - Vectors and Matrices

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31. Inverse of the matrix is Inverse of the matrix is

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32. The system of equations

2x + 4y = 10,

5x + 10y = 25 has

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33. For the following set of simulataneous equations:
1.5x - 0.5y = 2
4x + 2y + 3z = 9
7x+ y + 5z = 10

  • Option : A
  • Explanation : By solving the equations, we will get x=178/11 , y=49/11 and z= -237/11. So the answer is 'A
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34. If matrix A is m x n and B is nx p, then number of multiplication operations and addition operations needed to calculate the matrix AB, respectively are

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35. Determinant of the matrix

Determinant of the matrix is

is

  • Option : B
  • Explanation : Linear Algebra

    =5(20-30) - 3(10-18) + 2(5-6)

    = -50 + 24 - 2

    = -28

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