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In this lesson, we will learn how to identify invertible matrices and find their inverses.

Q1:

Find the inverse of the matrix π΄ = ο 3 3 1 6 ο .

Q2:

Find the set of real values of for which has a multiplicative inverse.

Q3:

Given that find .

Q4:

Find the multiplicative inverse of

Q5:

Given that find the matrix .

Q6:

Is the following matrix invertible?

Q7:

Find the multiplicative inverse of the following matrix if possible.

Q8:

Using the elementary row operation, find π΄ β 1 for the matrix π΄ = ο 5 3 2 1 ο if possible.

Q9:

Given find its multiplicative inverse if possible.

Q10:

Solve for matrix π in the matrix equation π π + π΅ = πΆ , where

Q11:

Find the multiplicative inverse of .

Q12:

Find the multiplicative inverse of the matrix , if possible.

Q13:

Q14:

Q15:

Are the following matrices multiplicative inverses of each other?

Q16:

Consider the matrices and . Determine

Q17:

Given that the matrix ο 7 1 β 7 π ο is invertible, what must be true of π .

Q18:

Q19:

Find the inverse of the matrix π΄ = ο 4 β 2 3 7 ο .

Q20:

Consider the matrix equation

Q21:

Is the matrix ο 5 1 β 1 5 ο invertible?

Q22:

Find the inverse of the following matrix.

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