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 = -69 ? 0.
Since det A ? 0, A-1 exists.
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Use mathematical induction to prove the statement is true for all positive integers n.1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 
What will be an ideal response?
Add or subtract. Simplify by combining like radical terms, if possible. Assume all variables and radicands represent nonnegative numbers.
- 4
- 4
A. -19
B. -8
C. -8
D. -19
Solve for rate in the problem. Round to the nearest tenth of a percent.$15.56 is % of $586.32.
A. 27.0 B. 2.7 C. 3,768.1 D. 376.8
Write a formula for the general term, or nth term, for the given sequence.-4, 16, -64, 256, -1024, . . .
A. an = -4 + 12(n - 1) B. an = (-1)n(4)n C. an = (-1)n - 1(4)n D. an = (-1)n(4n)