This post shall deal with **Matrices** as a topic for preparation of JEE Advanced and JEE Mains. The nature of questions and the important topics shall also be discussed.

#### Importance

**Yearly Trend**

The trend in the question papers in the past few years clearly suggests that Matrices is one of the **major** topics as far as JEE perspective is concerned. It is a topic of huge importance, carries a lot of marks and can fetch you a lot of marks if you get things right.

The trends show that **up to 3 questions** from this topic were asked in JEE Advanced in 2011. And in almost all the other years, 1 or 2 questions have been asked, making this a topic to be heavily focused on. And these questions may appear in Mix and Match type or Comprehension type, which carry a lot of marks. In JEE Mains also, the trend clearly shows that at least 1-2 questions are to be expected. All in all, It is a heavily scoring topic.

#### Topics

A high weightage of marks obviously means that a wide variety of

questions can be asked.

Matrices is a topic in which questions can be framed by combining matrices with a lot of other topics like **determinants or complex numbers**. So, if not directly, matrices still has a role to play in a lot of questions.

From Matrices itself, the most commonly asked questions are about the **properties of matrix**, related to its transpose or inverse, or its nature being symmetric or skew-symmetric. All the elements may or may not be mentioned and the solution will be demanded in the form of a matrix. Certain transformations will have to be performed to get the answer. **Comprehensive type** questions remaining very frequently asked.

Another common type of question asked is related to matrix with entries as only 0 and 1 (or unit matrix), where conditions are mentioned and solutions are demanded using properties.

The questions in which matrices are used as a tool to solve a system of equations is also important.

The most important topic when it comes to matrices is **solving a system of equations**. A system of equations is mentioned, which is then converted into a matrix form, which is then solved by using determinants, using the **Cramer’s rule**. The **nature of the roots** is generally asked which can be easily found out and answered.

All in all, it’s a very important topic and requires a genuine effort, but once done, reaps high reward.