A and B are n*n matrices. Check the true statements below. Please provide explanations. Thanks! -The determinants of A is the product of the diagonal entries in A. -If (lambda)+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A. -(detA)(detB) = detAB -An elementary row operation on A does not change the determinant. -If(lambda-r)^k is a root of the characteristic polynomial of A, then r is an eigenvalue of A with algebraic multiplicity k. -If A is 3*3, with columns a1,a2,a3, then detA equals the volume of the parallelpiped determined by vectors a1,a2,a3. -If one multiple of one row of A is added to another row, the eigenvalues do not change. -detA(transpose) = (-1)detA

For a 2*2 matrix the determinant is left diagonal minus right diagonal. For 3*3 matrix we follow the Chess board rules Plus minus plus first row. Second row is minus plus minus while Third is same with first multiply along diagonal with elimination row column step-by-step.

Step-by-step explanation:

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150