Let A, B be two nxn matrices. Let C=A^tA+B^tB where A^t and B^t stand for the transpose of A and B respectively. If C is singular, then what is the maximum value of rank(A)+rank(B).

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. ? 18 8 ? 10 30 12 ?

Given abcd ac=38 and ae=3x+4 find the value of x

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of florida was approximately two times the population of california. b. the population of florida was approximately twenty times the population of california. c. the population of california was approximately twenty times the population of florida. d. the population of california was approximately two times the population of florida.