29. Prove Theorem 3 as follows: Given an m n matrix A, an element in Col A has the form Ax for some x in Rn . Let Ax and Aw represent any two vectors in Col A. a. Explain why the zero vector is in Col A. b. Show that the vector Ax C Aw is in Col A. c. Given a scalar c, show that c. Ax/ is in Col A.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

5

step-by-step explanation: