Linear Transformation Given by a Matrix In
Chapter 6, Problem 54(choose chapter or problem)
In Exercises 51–54, determine whether the function involving the n x n matrix A is a linear transformation.
\(T: M_{n, n} \rightarrow R, T(A)=a_{11} \cdot a_{22} \cdots \cdots \cdot a_{n n} \text {, where } A=\left[a_{i j}\right]\),
Text Transcription:
T: M_n, n rightarrow R, T(A)=a_11 cdot a_22 cdots cdots cdot a_{n n} where [a_i j]
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