Recent content by bananasplit

Homework Statement In each case, check that (v1,...vk) is a basis for Rn and give the coordinates of the given vector b belongs to Rn with respect to that basis. Homework Equations a) v1=(2,3) v2=(3,5) b=(3,4) b) v1=(1,0,1) v2=(1,1,2) v3=(1,1,1) b=(3,0,1) The Attempt at a Solution I...

(A.A-1) = I I am sorry I typed that wrong

Homework Statement I have an idea on how to part 1, but I have no clue on how to do part 2 and 3. 1.Suppose A is invertible. Check that (A-1)TAT=I and AT(A-1)T=I, and deduce that AT is likewise invertible with inverse (A-1)T. 2. Suppose A is an mxn matrix with rank 1. Prove that there...

Im sorry, I wrote it in correctly the density function should be roe=A-Br/R.

This was the entire question Consider a closed surface S in a region of gravitational field g. Gauss’s law for gravitation tells us that the gravitational flux through surface S is linearly proportional to the total mass min occupying the volume contained by S. More specifically, Gauss’s law...

Is it possible to find the mass of the Earth based on the Earth's volume mass density, roe = A-Br=R, where A = 1.42 x 104 kg/m3, B = 1.16 x 104 kg/m3, and Earth’s radius R = 6.370 x 106 m I know that based on Gauss Law that (closed integral) g x da = -4Gmin, where g is the total electric...

Is it possible to find the mass of the Earth based on the Earth's volume mass density, roe = A-Br=R, where A = 1.42 x 104 kg/m3, B = 1.16 x 104 kg/m3, and Earth’s radius R = 6.370 x 106 m I know that based on Gauss Law that (closed integral) g x da = -4Gmin, where g is the total electric field...

Homework Statement Problem 1. A block having mass m and charge +Q is connected to an insulating spring having force constant k. The block lies on a frictionless, insulating horizontal track, and the system is immersed in a uniform electric field of magnitude E directed as shown in Figure P25:7...

Homework Statement Problem 1. A block having mass m and charge +Q is connected to an insulating spring having force constant k. The block lies on a frictionless, insulating horizontal track, and the system is immersed in a uniform electric field of magnitude E directed as shown in Figure...