2 x 2 invertible matrix

2 x 2 invertible matrix

In this section, we will learn about what an invertible matrix is. An invertible matrix is a square matrix that has an inverse. We say that a square matrix is invertible if and only if the determinant is not equal to zero. In other words, a 2 x 2 matrix is only invertible if the determinant of the matrix is not 0. If the determinant is 0, then the matrix is not invertible and has no inverse.

Lessons

An invertible matrix is a square matrix that has an inverse.
We say that a square matrix (or 2 x 2) is invertible if and only if the determinant is not equal to zero.
In other words, if XX is a square matrix and det(X)0(X)\neq0, then XX is invertible.
  • 1.
    2 x 2 Invertible Matrix Overview

  • 2.
    Understanding of an Invertible Matrix
    You are given that 2 x 2 invertible matrix. Is it invertible?

  • 3.
    You are given that 2 x 2 invertible matrix. Is it invertible?

  • 4.
    You are given that 2 x 2 invertible matrix. Is it invertible?

  • 5.
    You are given that 2 x 2 invertible matrix. Is it invertible?

  • 6.
    You are given that 2 x 2 invertible matrix. Is it invertible?

  • 7.
    You are given that 2 x 2 invertible matrix. Is it invertible?