Let Eequals={Bold e 1e1, Bold e 2e2, Bold e 3e3} be the standard basis for set of real numbers Rℝ3, Bequals={Bold b 1b1, Bold b 2b2, Bold b 3b3} be a basis for a vector space V, and T : set of real numbers Rℝ3 right arrow→ V be a linear transformation with the property that Upper T (x 1 comma x 2 comma x 3 )Tx1, x2, x3equals=(x 2 minus x 3 )x2−x3Bold b 1b1plus (x 1 plus x 3 )+x1+x3Bold b 2b2plus (x 2 minus x 1 )+x2−x1Bold b 3b3. a. Find the change-of-coordinates matrix from Upper B to Upper A.

b. Find left bracket Bold x right bracket Subscript Upper A for Bold x equals Bold b 1 minus 4 Bold b 2 plus 4 Bold b 3.

first one is a: renaming a fraction. second one is c: de-c

step-by-step explanation:

my explanation is that these were the answers on edg : )

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

won't that be plagrisim thought?

step-by-step explanation: