Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
The answer is 25 because of the Pythagorean theorem. 49+576=625 625 squared=25
The slope intercept it (0,4)
I’m pretty sure it would be 1/5, because scaling is changing the y values of the function. If the y value of the original is 10, you need to multiply/scale the new one by 1/5 to get the y value of 2