Class 12-commerce NCERT Solutions Maths Chapter 3 - Matrices
Ex. 3.1
Ex. 3.2
Ex. 3.3
Ex. 3.4
Misc. Ex.
Matrices Exercise Ex. 3.1
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/2706_solu3_1.gif)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/2707_solu3_2.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/2708_solu3_3.gif)
Solution 4
Let A =
(i)
a11 = ,
a12 = ,
a21 = ,
a22 =
Therefore, A =
(ii)
a11 = ,
a12 = ,
a21 = ,
a22 =
Therefore, A =
(iii)
a11 = ,
a12 = ,
a21 = ,
a22 =
Therefore, A = .
Solution 5
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/2710_solu3_5i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2710_solu3_5ii.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/2711_solu3_6.gif)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/2712_solu3_7.gif)
Solution 9
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/2714_solu3_9.gif)
Matrices Exercise Ex. 3.2
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/2715_solu3_10i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2715_solu3_10ii.gif)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/2716_solu3_11.gif)
Solution 3
(i)
ii)
iii)
iv)
v)
vi)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/2839_solu3_13i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2839_solu3_13ii.gif)
Solution 5
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/2887_solu3_15.gif)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/2888_solu3_16iii.gif)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/2889_solu3_17.gif)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/2890_solu3_18.gif)
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/2891_solu3_19.gif)
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/2892_solu3_20.gif)
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/2893_solu3_21.gif)
Solution 13
Solution 14
Solution 15
![](https://images.topperlearning.com/topper/bookquestions/2896_solu3_24i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2896_solu3_24ii.gif)
Solution 16
![](https://images.topperlearning.com/topper/bookquestions/2897_solu3_25i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2897_solu3_25ii.gif)
Solution 17
![](https://images.topperlearning.com/topper/bookquestions/2898_solu3_26.gif)
Solution 18
![](https://images.topperlearning.com/topper/bookquestions/2899_solu3_27i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2899_solu3_27ii.gif)
Solution 19
![](https://images.topperlearning.com/topper/bookquestions/2900_solu3_28i.gif)
![](https://images.topperlearning.com/topper/bookquestions/2900_solu3_28ii.gif)
Solution 20
![](https://images.topperlearning.com/topper/bookquestions/2901_solu3_29.gif)
Solution 21
![](https://images.topperlearning.com/topper/bookquestions/2902_solu3_30.gif)
Solution 22
![](https://images.topperlearning.com/topper/bookquestions/2903_solu3_31.gif)
Matrices Exercise Ex. 3.3
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/2904_solu3_32.gif)
Solution 2
Solution 3
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/2907_solu3_35.gif)
Solution 5
Solution 6(i)
Solution 6(ii)
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/2910_solu3_38.gif)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/2911_solu3_39.gif)
Solution 9
Solution 10
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/2914_solu3_42.gif)
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/2915_solu3_43.gif)
Matrices Exercise Ex. 3.4
Solution 1
Matrices Exercise Misc. Ex.
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
\