Math Doubts

Cofactors of a Matrix

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Definition

The product of the determinant of a square matrix by ignoring the entries in the row and column of a specific entry and the negative one raised to the power of sum of the number of row and the number of column of that entry, is called the cofactor of an entry.

Introduction

The cofactor of an entry is a quantity and it is obtained by the product of the following two factors.

  1. The word “Lower” means situated below another part.
  2. The word “Triangular” means shaped like a triangle.

2 × 2 Matrix

Learn how to find the cofactors of all entries in a two by two square matrix.

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3 × 3 Matrix

Learn how to evaluate the cofactors of all elements in a three by three square matrix.

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Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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