Use theorem 4.2.1 to determine which of the following are subspaces of mnn. (a) the set of all diagonal n × n matrices. (b) the set of all n × n matrices a such that det(a) = 0. (c) the set of all n × n matrices a such that tr(a) = 0. (d) the set of all symmetric n × n matrices. (e) the set of all n × n matrices a such that at = −a. (f) the set of all n × n matrices a for which ax = 0 has only the trivial solution. (g) the set of all n × n matrices a such that ab = ba for some fixed n × n matrix b

What is the prime factorization of 195

Analyze the data sets below. data set a 25,25,25,26,26,26,27,28,28,29,30,31 ,31,32,33,33,34,35,35,35 data set b 25,25,25,26,26,26,26,27,27,27,27,28 ,28,29,29,30,31,31,32,34 which of the following statement are true? select all that apply. a. data set a is relatively symmetric and data set b is skewed left. b. the means of the data sets are within 3 units from eachother. c. the data sets have the same standard deviation. d. the mean of data set a is 27.95 and the mean of data set b is 30. e. the data set b has a higher standard deviation than data set a. f. the mean and median of data set a are close in value.

The polynomial 10x3 + 35x2 - 4x - 14 is factored by grouping. 10x3 + 35x2 - 4x - 14 5x )-20 what is the common factor that is missing from both sets of parentheses?