Ablock weighing 15 newtons is pulled to the top of an incline that is 0.20 meter above the ground, as shown below. if 4.0 joules of work are needed to pull the block the full length of the incline, how much work is done against friction?

Total work done here against two forces

1. Work done against gravity

2. work done against friction

Here work done against gravity is given by

here we know that weight of the block will be

now we will say

as we know that total work

so work done against friction is 1 J

this a false

explanation:

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.