Let , , and  be 

Let  and  be 

Which of the following sets are subspaces of ? (1) 

Fin the reduced row echelon matrix that is row equivalent to the following matrix: 

For what values of  and  does the following system have infinitely many solutions? 

Which of the following sets of vectors is linearly independent? 

The following is the augmented matrix of a linear system of equations: 

Assume det  where  Find the determinant of the matrix 

Let , and . What is the geometric description of the Span ? 

The Michael Scott Paper Company uses customers served as its measure of activity. During February, the company budgeted for 35,000 customers, but actually served 34,000 customers. The company uses the following revenue and cost formulas in its budgeting, where q is the number of customers served: Revenue: $3.50q Wages and salaries: $33,200 + $1.10q Supplies: $0.50q Insurance: $10,400 Miscellaneous expense: $6,400 + $0.30q   The company reported the following actual results for February: Revenue $119,800 Wages and salaries $68,000 Supplies $14,400 Insurance $10,400 Miscellaneous expense $17,700 Prepare the company’s flexible budget performance report for February. Label each variance as favorable (F) or unfavorable (U)