AA, PP and DD are n×nn×n matrices. Check the true statements below: A. AA is diagonalizable if A=PDP−1A=PDP−1 for some diagonal matrix DD and some invertible matrix PP. B. AA is diagonalizable if and only if AA has nn eigenvalues, counting multiplicities. C. If AA is diagonalizable, then AA is invertible. D. If there exists a basis for RnRn consisting entirely of eigenvectors of AA, then AA is diagonalizable.

Use the distance formula to determine the distance that point q is from r on the hypotenusebased on a 2-3 ratio. i need asap !

Fiona races bmx around a circular dirt course. if the radius of the course is 70 meters, what is the total distance fiona covers in two laps of the race? a. about 30,772 meters b. about 15,386 meters c. about 879.2 meters d. about 439.6 meters e. about 219.8 meters23 points hurry

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.