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Lesson: Inverse of a Matrix: Row Operations Mathematics • 10th Grade

In this lesson, we will learn how to use elementary row operations to find the inverse of a matrix, if possible.

Lesson Plan

Students will be able to

invert a matrix by creating the augmented matrix and performing row operations on it to get ,
show that a matrix is not invertible by performing row operations until a pivot entry appears in the right-hand side of the augmented matrix.

Q1:

Find the multiplicative inverse of the matrix

Q2:

Find the multiplicative inverse of

Q3:

Use the inverse matrix to solve Give your answer as an appropriate matrix.

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