NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.3

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Jasmine Grover

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Class 12 Maths NCERT Solutions Chapter 3 Matrices Exercise 3.3 is provided in this article. Chapter 3 Exercise 3.3 deals with questions on the transpose of a matrix, properties of transpose of a matrix, and symmetric and skew-symmetric matrices.

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Check out the solutions for Class 12 Maths NCERT solutions chapter 3 Matrices Exercise 3.3:

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Class 12 Chapter 3 Matrices Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


      • 2.

        A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


          • 3.

            Evaluate:
            \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


              • 4.

                At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


                Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
                On the basis of the above information, answer the following questions :


                  • 5.
                    Find:

                    The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

                      • \(-\frac{\pi}{2}\)
                      • \(-\frac{\pi}{4}\)
                      • \(\frac{\pi}{4}\)
                      • \(\frac{\pi}{2}\)

                    • 6.
                      If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

                        CBSE CLASS XII Previous Year Papers

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