Let T be a linear transformation of Rm to Rn. Show that there exists a number λ such that || TX || ≤ λ || X || for all X ∈ Rm.

The triangles are similar. what is the value of x? show your work.

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)