Consider the consistent system below. For what values of p, q, and r is the following matrix in reduced row-echelon form? Q2.1 p must be either 0 or 1 1 other 0 Q2.2 Select all that must be true: r must be 0 r must be 1 g must be 0 q must be either 0 or 1 must be either 0 or 1 none of the above q must be 1 10000 12 0 Р 1 009 00-10 r 0 2

The dimension of the null space of 6x8 matrix, B is 4 how many rows of zeros does the row reduced echelon form of B contain 3 none 4 2 O 5

FIrst one is W= NUL A or COL A (as the option choices)

5. Perform the row operation R, and replace R, on the following matrix. 50 030 030 7 0 0 3 500 30 0 3 0 7 3 7 0 0 32 3 2

A community fitness center has a pool and a weight room. The admission prices (in dollars) for residents and nonresidents are given by the matrix P. The average daily numbers of customers for the fitness center are given by the matrix A. a. Compute AP. b. What is the average amount of money taken in by the pool each day? P= 5.50 6.00 Residents Nonresidents A= Residents 64 76 Nonresidents 70 89 a. AP = (Type an integer or decimal for each matrix element.) Pool Weight room CH

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