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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 following matrix.

Q2:

Q3:

Is the following matrix invertible?

Q4:

Q5:

Find the set of real values of π for which π΄ = οΌ π 2 5 1 π ο has a multiplicative inverse.

Q6:

Given that find π΄ β 1 .

Q7:

Are the following matrices multiplicative inverses of each other?

Q8:

Q9:

Find the multiplicative inverse of the matrix π΄ = ο½ β 4 β 1 0 3 5 ο , if possible.

Q10:

Given that the following matrix is invertible, what must be true of ?

Q11:

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

Q12:

Find the multiplicative inverse of π΄ = ο β 4 8 β 1 2 2 4 ο , if possible.

Q13:

Given find its multiplicative inverse if possible.

Q14:

Find the multiplicative inverse of οΌ 6 9 0 0 6 9 ο .

Q15:

Given that find the matrix π΄ .

Q16:

Consider the matrices π΄ and π΅ . Determine ( π΄ + π΅ ) ο± ο§ π΄ = ο β 3 β 2 β 5 β 7 ο , π΅ = ο β 1 2 8 9 ο .

Q17:

Find the multiplicative inverse of

Q18:

Q19:

Solve for matrix in the matrix equation , where , , and are as follows.

Q20:

Consider the following matrix equation. Solve for the unknown matrix.

Q21:

Find the multiplicative inverse of the matrix π΄ = ο½ 3 7 2 2 ο , if possible.

Q22:

Find the multiplicative inverse of the matrix π΄ = ο½ 5 β 2 7 β 2 ο , if possible.

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