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12th Standard English Medium Maths Subject Application of Matrices and Determinants Creative 2 Mark Questions with Solution Part - II Question Bank Software Jun-19 , 2021

QB365 provides detailed and simple solution for every Creative Questions in class 12 Maths Subject. It will helps to get more idea about question pattern in every Creative questions with solution.

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

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

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 any 2 \(\times\) 2 matrix, if A (adj A) =\(\left[ \begin{matrix} 10 & 0 \\ 0 & 10 \end{matrix} \right] \) then find |A|.

  2. If A is a square matrix such that A3 = I, then prove that A is non-singular.

  3. Find the rank of the matrix \(\left[ \begin{matrix} 3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2 \end{matrix} \right] \).

  4. Show that the equations 3x + y + 9z = 0, 3x + 2y + 12z = 0 and 2x + y + 7z = 0 have nontrivial solutions also.

  5. Solve : 2x - y = 3, 5x + y = 4 using matrices.

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