Choose the one alternative that best completes the statement or answers the question.
Use a graphing utility to find the inverse of the matrix, if it exists. Round answers to two decimal places, if necessary.
-$\left[\begin{array}{rrr}
-16 & 3 & 28 \
5 & -14 & 15 \
34 & 25 & 2
\end{array}\right]$

A) $\left[ \begin{array} { r r r } - 0.02 & 0.03 & 0.02 \ 0.02 & - 0.04 & 0.01 \ 0.02 & 0.02 & 0.00 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 0.02 & 0.03 & 0.02 \ 0.02 & - 0.04 & 0.02 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

C) $\left[ \begin{array} { r r r } - 0.01 & 0.03 & 0.02 \ 0.02 & - 0.03 & 0.01 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

D) $\left[ \begin{array} { r r r } - 0.01 & 0.02 & 0.01 \ 0.02 & - 0.03 & 0.01 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

Question

Choose the one alternative that best completes the statement or answers the question.
Use a graphing utility to find the inverse of the matrix, if it exists. Round answers to two decimal places, if necessary.
-$\left[\begin{array}{rrr}
-16 & 3 & 28 \
5 & -14 & 15 \
34 & 25 & 2
\end{array}\right]$

A) $\left[ \begin{array} { r r r } - 0.02 & 0.03 & 0.02 \ 0.02 & - 0.04 & 0.01 \ 0.02 & 0.02 & 0.00 \end{array} \right]$

B) $\left[ \begin{array} { r r r } - 0.02 & 0.03 & 0.02 \ 0.02 & - 0.04 & 0.02 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

C) $\left[ \begin{array} { r r r } - 0.01 & 0.03 & 0.02 \ 0.02 & - 0.03 & 0.01 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

D) $\left[ \begin{array} { r r r } - 0.01 & 0.02 & 0.01 \ 0.02 & - 0.03 & 0.01 \ 0.02 & 0.02 & 0.01 \end{array} \right]$

Quizplus · Accepted Answer

The correct answer is obtained by using a graphing utility or matrix calculator to find the inverse of the given matrix. The inverse matrix is calculated by applying matrix operations that involve finding the determinant of the matrix and then using it to find the matrix of cofactors, adjugate, and finally dividing by the determinant to get the inverse. The values in option B most closely match the expected results of these calculations, rounded to two decimal places.

Choose the One Alternative That Best Completes the Statement or Answers