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In this lesson, we will learn how to find the inverse matrix for a given three-by-three matrix.

Q1:

By considering the value of the determinant, determine whether the matrix has an inverse. If so, find the inverse by considering the matrix of cofactors.

Q2:

Find the inverse of the following matrix.

Q3:

Using the elementary row operation, find for the given matrix if possible.

Q4:

Use technology to find the inverse of the following matrix.

Q5:

Find the multiplicative inverse of

Q6:

Using the Cayley-Hamilton theorem, find for the given matrix if possible.

Q7:

Consider the following matrix. Find its inverse, given that it has the form where , , and are expressions involving , , and that you should find.

Q8:

Find the multiplicative inverse of the matrix

Q9:

Using elementary row operations, find for the given matrix if possible.

Q10:

Q11:

Consider the matrix Find its inverse, given that it has the form , where , , and are numbers that you should find.

Q12:

Q13: