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Asked: 2025-01-31T08:40:35+00:00 In:

If A is any square matrix of order 3 x 3 such that |A| = 4, then the value of |A⁻¹| is

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A square matrix of order 3 × 3 is a matrix with three rows and three columns. It is represented as a 3 × 3 array of elements. Square matrices are important in linear algebra for operations like calculating determinants and finding inverses. They have equal rows and columns.

Chapter 4 of Class 12 Maths focuses on Determinants. It explains methods like cofactor expansion for calculating determinants and their properties. The chapter also covers applications such as solving linear equations using Cramer’s rule and finding matrix inverses. These concepts are crucial for students preparing for the CBSE Exam 2024-25.

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    1. For any invertible square matrix A, the determinant of its inverse is given by:

      |A⁻¹| = 1/|A|

      Since |A| = 4, we have:

      |A⁻¹| = 1/4

      Thus, the correct answer is 1/4.

      Click here for more:
      https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-4

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