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Maths Puzzle
Numerical Ability
6-2x/x-3
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Let T, U: V to W be linear transformations. Prove that:
a. R(T+U) is a subset of R(T)+R(U).
b. If W is finite-dimensional, then rank(T+U)=< rank(T)+rank(U).
c. Deduct from b that rank(A+B)=< rank(A)+rank(B) for any m x n matrices
A and B.
Question: Find the equation of a line that contains the point(-2,4) and is parellel to the y=2x-3. Please show the steps.