Given the standard inner product for continuous functions on [0, 1], (?g) = fol fgdx A) Express the triangle inequality in this context (using the inner product definition above

Given the standard inner product for continuous functions on [0, 1], (?g) = fol fgdx A) Express the triangle inequality in this context (using the inner product definition above.) 21+1 and g(x) = x2? Show all your work! (this is a good Calculus B) What is the angle between f(x) = x review to get you warmed up for 055.)

10. 10 pts: Give a matrix example for each of the following: A) A 2 x 2 matrix transformation that stretches the x-axis by a factor of 3, multiplies everything on the line y = x by -1, then rotates the result 120 degrees in the counter-clockwise direction. Explain your reasoning. B) An example of full-rank matrices, [T1]: R3 —> R5, [T2]: R5 —> R3 such that T2 0 T1 is NOT a bijection. Again, the matrices must be full rank