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12th Standard English Medium Maths Subject Application of Matrices and Determinants Creative 2 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    2 Marks

    5 x 2 = 10
  1. For the matrix A, if A3 = I, then find A-1.

  2. Show that the system of equations is inconsistent. 2x + 5y= 7, 6x + 15y = 13.

  3. Find the rank of the matrix A =\(\left[ \begin{matrix} 4 \\ 7 \end{matrix}\begin{matrix} 5 \\ -3 \end{matrix}\begin{matrix} -6 \\ 0 \end{matrix}\begin{matrix} 1 \\ 8 \end{matrix} \right] \).

  4. Find k if the equations x + 2y + 2z = 0, x - 3y - 3z = 0, 2x + y + kz = 0 have only the trivial solution.

  5. Solve 6x - 7y = 16, 9x - 5y = 35 using (Cramer's rule).

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