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.
1 answer:
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Answer:
Option c is correct !!
Step-by-step explanation:
[ Refer to the attachment ]
As y = mx + c is an equation to represent the straight line ; we equate the given line with this equation !!
Where m is slope of the line
and c is y intercept !!
We get , m = -3/2 and c = 4
Also, two perpendicular lines follows the equation :-
Where m nth is slope of nth line !!
