4.4. The symmetric matrix A = ⎛ ⎝ 47 32 8 32 −1 −16 8 −16 59 ⎞ ⎠ . has eigenvectors x1 = (2, 1, 0)T , x2 = (1,−2, 10)T, and x3 = (2,−4,−1)T . (a) Is this matrix positive definite? (b) What are the corresponding eigenvalues? (c) Assuming the starting vector y0 = (1, 1, 1)T , what eigenvalue will the power method converge to and what will be the resulting eigenvector?

Daniel bought a computer game for $25 and later sold it to thomas for a 40% profit. how much did daniel sell the computer game for?

If you have the following equation, 2/3x+5/6-x=2-3/4x what would you multiply each term by to get rid of all the fractions

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?