10 Questions
What is the commutative property in matrix multiplication?
Matrix multiplication does not satisfy commutative property.
What property does matrix multiplication always satisfy?
Matrix multiplication always satisfies the associative property.
What is the identity element in the given operation?
The identity element is 2.
What is the inverse element of the matrix A = (4𝑥 1, 4𝑥 1, 4𝑥 1)?
The inverse element is (4𝑥, 1, 4𝑥, 1, 4𝑥, 1).
Does the operation ×𝟏𝟏 on the subset A = {1,3,4,5,9} satisfy closure property?
Yes, the operation satisfies closure property.
Does the operation ×𝟏𝟏 on the subset A = {1,3,4,5,9} satisfy commutative property?
Yes, the operation satisfies commutative property.
Does the operation ×𝟏𝟏 on the subset A = {1,3,4,5,9} satisfy associative property?
Yes, the operation satisfies associative property.
What is the identity element in the operation ×𝟏𝟏 on the subset A = {1,3,4,5,9}?
The identity element is 1.
What are the inverse elements of 1, 3, 4, 5, and 9 in the operation ×𝟏𝟏?
The inverse elements are 1, 4, 3, 9, and 5 respectively.
What is the main difference between the commutative property and the associative property?
The commutative property deals with the order of elements in an operation, while the associative property deals with the grouping of elements.
Test your knowledge on closure, associative, identity, inverse, and commutative properties of algebraic structures with this quiz. Determine whether certain properties hold true for given operations in a mathematical set.
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