Determine whether the given set s is a subspace of the vector space v.

a. v=mn(r), and s is the subset of all upper triangular matrices.

b. v is the vector space of all real-valued functions defined on the interval (−∞,∞), and s is the subset of v consisting of those functions satisfying f(0)=0.

c. v=c2(i), and s is the subset of v consisting of those functions satisfying the differential equation y′′−4y′+3y=0.

d. v=c1(r), and s is the subset of v consisting of those functions satisfying f′(0)≥0.

e. v=r2, and s is the set of all vectors (x1,x2) in v satisfying 5x1+6x2=0. f. v=p5, and s is the subset of p5 consisting of those polynomials satisfying p(1)> p(0). g. v=mn(r), and s is the subset of all nonsingular matrices.

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

this is a very good question

step-by-step explanation:

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.