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Multiplicative Inverses of Matrices and Matrix Equations
1 Find the Multiplicative

Question 17

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Multiplicative Inverses of Matrices and Matrix Equations
1 Find the Multiplicative Inverse of a Square Matrix
- A=[5623]A = \left[ \begin{array} { r r } - 5 & 6 \\ - 2 & - 3 \end{array} \right]


A)
[1929227527]\left[ \begin{array} { c } - \frac { 1 } { 9 } - \frac { 2 } { 9 } \\\frac { 2 } { 27 } - \frac { 5 } { 27 }\end{array} \right]
B)
[1929227527]\left[\begin{array}{cc}-\frac{1}{9} & \frac{2}{9} \\-\frac{2}{27} & -\frac{5}{27}\end{array}\right]
C)
[2275271929]\left[\begin{array}{c}\frac{2}{27}-\frac{5}{27} \\-\frac{1}{9}-\frac{2}{9}\end{array}\right]

D)
[5272922719]\left[\begin{array}{c}-\frac{5}{27}-\frac{2}{9} \\\frac{2}{27}-\frac{1}{9}\end{array}\right]


Correct Answer:

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