(1) let t: rn--->rm be linear tranformations. a. if t maps rnonto rm, give a relationship between m and n b. if t is one-to-one, give a relationship between m and n c. if t maps rn onto rm and is one-to-one, give a relationship between m and n (hint: think about the size of the standard matrix representation of t and the placement of the pivots in each case) (2) let t: r3 ---> r4 be a linear transformation such that the only solution to t(x) = 0 is trivial solution. a. if t is one-to-one b. does t map r3onto r4? justify your answers in each case. (hint:one way to approach this is to look at what the martix representation of t might look like and where it does or does not have pivots.) (3) suppose a linear transformation t: r2> r2 is formed by taking a rotation counterclockwise of 90 degrees, follwed by a reflection through the x2-axis. describe the points that will be moved back to their original position by this transformation? (hint: think about what t will do to the unit box and the vectors e1 and e2)
Get the answer

Category: computerinformation |
Author: Hedda Galya

## Related Questions

##### (1) mars's moon, phobos, has an irregular shape and is best known for

##### (1) max is my best friend. (2) he is also my dog. (3) my family moves

##### (1) mortgage rates are at an all time low. (2) it is therefore a good

## Category

## womensstudies

(1) mr. brennan, my math teacher, says that we have to show our work on our tests. (2) learned the hard way to follow his instructions to the letter.

## statistics

(1) much has been made of fitzgerald's relation to his characters. (2) many of the characters in his novels are based on people from his life. (3) wit

## biomedicalengineering

(1) on your social media feed. you notice many of your family and friends growing concerned with exposure to green light. those behind the concern cla