Assuming the standard definitions of addition and scalar multiplication, decide whether or not the following sets are vector spa
ces.Justify your answers by verifying that all properties of a vector space are satisfied or that at least one of the properties fails to hold.(a) The setVof all3×3lower triangular matrices (all entries above the main diagonal are zero).(b) The setVof all2×2matrices whose determinants are 0.
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Answer:
Option C i.e. 2 and 9, constants have a fixed value is a correct option.
Step-by-step explanation:
In algebra, a constant is basically a fixed value.
Sometimes, a constant is a number for a letter such as a, b, or c for a fixed number.
For example: in ''2x+7=3'', 7 and 3 are constants.
- <em>Please note that the number with variable x in the term is a coefficient.</em>
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In our case:
Given the equation
Therefore, 2 and 9 are constants, having a fixed value.
Thus, option C i.e. 2 and 9, constants have a fixed value is a correct option.