If x and y are linearly independent, and if {x, y, z} is linearly dependent, then z is in span{x, y}.choose the correct answer below. true / false.

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.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

answer: answer

step-by-step explanation: