RS Aggarwal Class 12 Solutions Chapter 6

1. What are Determinants’ properties?

Ans – The value of a determinant can be figured out with the help of its properties. It makes the evaluation easier so that you don’t have to do as much math when solving determinants. Here are some things about determinants.

• Reflection Property: If the rows are turned into columns or the other way around, the value of the determinant doesn’t change.
• All Zero Property: If all the numbers in a column or row are zero, the determinant has a value of zero.
• Proportionality Property: If all the numbers in two rows or columns are the same, the determinant has a value of zero.
• Switching Property: The sign of a determinant changes when any two rows or columns are switched.
• Scalar Multiple Properties: If all the parts of a determinant are multiplied by a non-zero constant, then the value of the determinant is multiplied by that constant.

2. What are the subtopics that Chapter 6: Determinants covers?

Ans – Determinants give us numbers, and only square matrices can be used to figure out determinants. This chapter also tests your knowledge of matrices, so you should be very clear on what you learned in the last chapter. The RS Aggarwal Class 12 Solutions Chapter 6 Determinants PDF goes into detail about the following subtopics:

Find the determinants of square matrices with the first, second, or third order.

• The properties of Determinants will make matrices easier to evaluate.
• Area of a triangle: Given the coordinates of a triangle’s three points, figure out its area.
• Minors and Cofactors: Determinants can also be made more complicated by adding minors and cofactors, which can be used in other types of questions.
• Adjoint and inverse of a square matrix.
• Using the properties of the inverse of a matrix to solve a set of two or three linear equations with a unique solution.
• Application of Matrices and determinants.

3. How can I access the RS Aggarwal Class 12 solutions Chapter 6 Determinants?

Ans –  Students can follow these steps to get the Class 12 RS Aggarwal solutions for Math Chapter 6 Determinants:

• Open any web browser and look for the Utopper website, or just click here to go there. Students can also use the Utopper app to get to all of their study materials quickly.
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• Than click on the ” Reference Books Solutions” tab, a new page will open.
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4. What are the different types of determinants that are talked about in Chapter 6 of RS Aggarwal Class 12 Mathematics?

Ans – In Chapter 6 of Class 12 RS Aggarwal for math, students learn about three types of determinants: First Order Determinant, Second Order Determinant, and Third Order Determinant. Here are more details about the three types of determinants that were talked about in class 12 RS Aggarwal:

• First Order Determinant: If A=[a], then the determinant of A is a is equal to a is the order 1 matrix.
• Second Order Determinant: The value of the determinant for a 2×2 matrix is called its second order determinant.
• Third Order Determinant: A third order determinant is the determinant of a 3×3 matrix.