In this worksheet, we will practice using some properties of matrix inverse.
Q1:
Consider the matrix 𝐴=−31−25. Find 𝐴.
Q2:
If 𝐴 is a matrix, which of the following is equal to 𝐴?
Q3:
If 𝐴 and 𝐵 are both nonsingular matrices, then what is the value of (𝐴𝐵)?
Q4:
If 𝐴 is a matrix, which of the following is equal to 𝐴?
Q5:
Given 𝐴=251321174321218, find 𝐴.
Q6:
Given the matrices 𝐴 and 𝐵 where 𝐴=1−230−14001 and 𝐵=1−250−14001, find 𝐴𝐵.
Without doing any further calculations, find 𝐴.
Q7:
If 𝐴 is a nonsingular square matrix, is it correct that 𝐴⋅𝐴 equals the identity matrix?
Q8:
Given that (𝐴𝐵)=165−3−3321𝐴=−2−1−3−2,, determine 𝐵.
Q9:
Given that 𝐴 and 𝐵 are invertible matrices, which of the following is the value of 𝐵⋅(𝐴𝐵)?
Q10:
Given 𝐴=111517, find 𝐴.
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