Provide an appropriate response.Consider the matrixA = 
Without using a calculator, determine whether A-1 exists. Explain your reasoning.
What will be an ideal response?
Expanding by the third column,
det A = 3 
+ 0 + 0 = -312 ? 0.
Since det A ? 0, A-1 exists.
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The terminal side of ? in standard position contains the given point. Find the values of the six trigonometric functions of ?.(-4, -3)
A. sin ? = - 
cos ? = - 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = 
B. sin ? = 
cos ? = - 
tan ? = - 
csc ? = 
sec ? = - 
cot ? = - 
C. sin ? = - 
cos ? = - 
tan ? = - 
csc ? = - 
sec ? = - 
cot ? = - 
D. sin ? = - 
cos ? = 
tan ? = - 
csc ? = - 
sec ? = 
cot ? = - 
Factor the trinomial, if possible.-2x3 + 2x2 + 40x
A. -2x(x + 5)(x - 4) B. -2x(x - 5)(x + 4) C. -2x2(x - 5)(x - 4) D. 2x(x + 5)(x + 4)
Use the Negative Exponent Rules to simplify. Write the answer with positive exponents. All variables are nonzero.r-4
A. - 
B. -r4
C. 
D. r1/4
Solve the absolute value inequality. Write the solution set using interval notation.
? 8
A. (-?, -8] B. [-8, 8] C. (-?, -8] ? [8, ?) D. (-?, 8]