4. (5 points) show that the set h = (1.x - 4y = z). ly: "}is a subspace of r3. state any theorems that you x + y = 0 use. p1 5. let t: p2 → r2 be the linear transformation defined by t (p) = |2o: (2) a) (2 points) calculate t(p), where (t) = t2 – 3t+7. b) (6 points) find a polynomial q which spans the kernel of t.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

is only a line? i think so

correct answer is b. 27/8

step-by-step explanation: