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In this lesson, we will learn how to use some properties of matrix inverse.

Q1:

Given that find οΉ π΄ ο π β 1 .

Q2:

Consider the matrix π΄ = οΌ β 3 1 β 2 5 ο . Find οΉ π΄ ο β 1 β 1 .

Q3:

Consider the matrix π΄ = οΌ β 6 β 1 2 0 ο . Find οΉ π΄ ο β 1 β 1 .

Q4:

Consider the matrix π΄ = οΌ β 5 β 4 6 2 ο . Find οΉ π΄ ο β 1 β 1 .

Q5:

Consider the matrix π΄ = οΌ β 5 β 1 3 β 2 ο . Find οΉ π΄ ο β 1 β 1 .

Q6:

If π΄ is a matrix, which of the following is equal to οΉ π΄ ο β 1 π‘ ?

Q7:

Given that determine π΅ β 1 .

Q8:

Given that find π΅ π΄ β 1 β 1 .

Q9:

Suppose π΄ , π΅ , and πΆ are invertible π Γ π matrices. Which of the following is false?

Q10:

If π΄ is a matrix, which of the following is equal to οΉ π΄ ο β 1 2 ?

Q11:

If πΌ is the identity matrix, which of the following is equal to πΌ ο± ο§ ?

Q12:

Given that find οΉ π΄ ο β 1 β 1 .

Q13:

Q14:

Q15:

If π΄ and π΅ are both nonsingular matrices, then what is the value of ( π΄ π΅ ) β 1 ?

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