Let H be the set of all vectors of the form .a 3b; b a; a; b/, where a and b are arbitrary scalars. That is, let H D f. a 3b; b a; a; b/ W a and b in Rg. Show that H is a subspace of R

Write an algebraic expression to match each statement a. four less than 8 times a number b. twice the difference of a number and six c. nine from a number squared

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet

Labc is reflected across x = 1 and y = -3. what are the coordinates of the reflection image of a after both reflections?