Let V be a5 × 3 matrix whose columns are orthonormal vectors v1, v2, v3 in 5 (b) Write a singular value decomposition for PV that includes the vectors v1, v2, v3. What are the singular values of PV ? (c) Show that PVPV =PV (d) Show that the range of the matrix I − PV is the null space of PV and, moreover, (I − PV ) (I − PV ) = I − PV . The matrix PV is the orthogonal projector to V , and I − PV is the ⊥ R . Show that

Find the equation of the ellipse with the following properties. the ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8) and (0, -8).edit: the answer is x^2 over 28 + y^2 over 64 = 1

What is the value of x enter your answer in the box (3x+50

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.