# Lumos StepUp - SBAC Online Practice and Assessments - Grade 11 Mathematics Zero, Identity and Inverse Matrices

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## $$\text{In a square }{\rm n}\times {\rm n}\ matrix, \text{the cells are }\left[\begin{array}{cccc} {a_{11} } & {a_{12} } & {...} & {a_{1{\rm n}} } \\ {a_{21} } & {a_{22} } & {...} & {a_{2{\rm n}} } \\ {...} & {...} & {...} & {...} \\ {a_{{\rm n}1} } & {a_{{\rm n}2} } & {...} & {a_{{\rm nn}} } \end{array}\right].$$$$\text{What is the value of cell a_{23} in product these two matrices? }\left[\begin{array}{ccc} {0} & {0} & {0} \\ {0} & {0} & {0} \\ {0} & {0} & {0} \end{array}\right].\left[\begin{array}{ccc} {3} & {-2} & {5} \\ {-4} & {1} & {-6} \\ {7} & {-3} & {2} \end{array}\right]$$

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