If you quadrupled the mass and tripled the radius of a planet, by what factor would gg at its surface change

4/3

Explanation:

We already know aforehand that the acceleration due to gravity on the surface of a planet is given as

GM/r²,

Now, if the mass is quadrupled, we would have

G4M/r²,

If the radius is then tripled, we would have again

G4M/3r²

And that is what we have, now, to get the factor that the acceleration changes is simply to compare it with the primary equation

HM/r² = G4M/3r²

And thus, we find out that the factor is 4/3 or 1.333

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

i don't understand is there any other way you can rephrase it plz let me know in the comments and i will do it.

explanation: