Answer:
True
Step-by-step explanation:
We are given that x and y are linearly independent, if {x,y,z} is linearly independent then z is in span{x,y}.
We have to check that given statement is true or false.
Linearly independent set: A set is called linearly independent if any element is not a linear combination of two or more than two elements of the set.
Dependent set: A set is called linearly dependent when any element of a set is the linear combination of two or more than two elements of the set.
x and y are linearly independent and {x,y,z} is linearly dependent.
It means z is a linear combination of x and y .z is span by x and y.
Therefore, the statement is true.
