Let's consider two sets in the linear algebra context. Set A contains the vectors [1, 2], [3, 4] and set B contains the vectors [1, 2], [3, 4], [5, 6]. Is set A a proper subset of set B?

Question

Let&#x27;s consider two sets in the linear algebra context. Set A contains the vectors [1, 2], [3, 4] and set B contains the vectors [1, 2], [3, 4], [5, 6]. Is set A a proper subset of set B?

Accepted Answer

Step:1 ：First we need to understand what a proper subset is. A is a proper subset of B if every element of A is also an element of B but B contains at least one element that A does not.Step:2 ：Now we analyze the two sets. Set A has the vectors [1, 2] and [3, 4], which are also in set B. However, set B also contains the vector [5, 6], which is not in set A.Step:3 ：Therefore, set A is a proper subset of set B because it meets the criteria.

Answer

Step: 1 ：First we need to understand what a proper subset is. A is a proper subset of B if every element of A is also an element of B but B contains at least one element that A does not.Step: 2 ：Now we analyze the two sets. Set A has the vectors [1, 2] and [3, 4], which are also in set B. However, set B also contains the vector [5, 6], which is not in set A.Step: 3 ：Therefore, set A is a proper subset of set B because it meets the criteria.

Let's consider two sets in the linear algebra context. Set A contains the vectors [1, 2], [3, 4] and set B contains the vectors [1, 2], [3, 4], [5, 6]. Is set A a proper subset of set B?

Answer

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