Solved: In Exercises 201 and 202, determine whether the statement is true or false

Chapter 8, Problem 202

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In Exercises 201 and 202, determine whether the statement is true or false. Justify your answer.

\(\left|\begin{array}{ccc} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31}+c_{1} & a_{32}+c_{2} & a_{33}+c_{3} \end{array}\right|=\)

\(\left|\begin{array}{lll} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right|+\left|\begin{array}{lll} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ c_{1} & c_{2} & c_{3} \end{array}\right|\)

Text Transcription:

|_a_31 + c_1 a_32 + c_2 a_33 + c_3 ^a_21 a_22 a_23 ^^a_11 a_12 a_13| =

|_a_31 a_32 a_33 ^a_21 a_22 a_23 ^^a_11 a_12 a_13| + |_c_1 c_2 c_3 ^a_21 a_22 a_23 ^^a_11 a_12 a_13|

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