NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercises

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CBSE CLASS XII Related Questions

1.

Solve system of linear equations, using matrix method.
 x-y+2z=7
 3x+4y-5z=-5
 2x-y+3z=12

      2.
      Find the following integral: \(\int (ax^2+bx+c)dx\)

          3.

          If A=\(\begin{bmatrix}2&-1&1\\-1&2&-1\\1&-1&2\end{bmatrix}\)verify that A3-6A2+9A-4 I=0 and hence find A-1 

              4.
              If (i) A=\(\begin{bmatrix} \cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha \end{bmatrix}\),then verify that A'A=I
              (ii) A= \(\begin{bmatrix} \sin\alpha & \cos\alpha\\ -\cos \alpha & \sin\alpha \end{bmatrix}\),then verify that A'A=I

                  5.
                  Find the inverse of each of the matrices, if it exists. \(\begin{bmatrix} 1 &  3\\ 2 & 7\end{bmatrix}\)

                      6.

                      Let A=\(\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}\),show that(aI+bA)n=anI+nan-1bA,where I is the identity matrix of order 2 and n∈N

                          CBSE CLASS XII Previous Year Papers

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