# Lesson Worksheet: Properties of Inverse Matrices Mathematics

In this worksheet, we will practice using some properties of matrix inverse.

Q1:

Consider the matrix . Find .

• A
• B
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• E

Q2:

If is a matrix, which of the following is equal to ?

• A
• B
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• D

Q3:

If and are both nonsingular matrices, then what is the value of ?

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• B
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• D

Q4:

If is a matrix, which of the following is equal to ?

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• E

Q5:

Given find .

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Q6:

Given the matrices and where and , find .

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Without doing any further calculations, find .

• A
• BMatrix has no inverse.
• C
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• E

Q7:

If is a nonsingular square matrix, is it correct that equals the identity matrix?

• ANo
• BYes

Q8:

Given that determine .

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• D

Q9:

Given that and are invertible matrices, which of the following is the value of ?

• A
• B
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• E

Q10:

Given , find .

• A
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• E

This lesson includes 21 additional questions and 138 additional question variations for subscribers.